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121302000311220 = 223257311518020423
BaseRepresentation
bin11011100101001011010010…
…101000111001101110110100
3120220111100122222001211022100
4123211023102220321232310
5111344402444034424340
61105553211502102100
734356531435214641
oct3345132250715664
9526440588054270
10121302000311220
1135717986925873
121173118257a930
13528b963a7a001
1421d5096154dc8
15e05523ea0830
hex6e52d2a39bb4

121302000311220 has 144 divisors (see below), whose sum is σ = 373313907412992. Its totient is φ = 31876365196800.

The previous prime is 121302000311209. The next prime is 121302000311279. The reversal of 121302000311220 is 22113000203121.

121302000311220 is a `hidden beast` number, since 1 + 2 + 130 + 2 + 0 + 0 + 0 + 311 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121302000311193 and 121302000311202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11113929 + ... + 19134351.

It is an arithmetic number, because the mean of its divisors is an integer number (2592457690368).

Almost surely, 2121302000311220 is an apocalyptic number.

121302000311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121302000311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186656953706496).

121302000311220 is an abundant number, since it is smaller than the sum of its proper divisors (252011907101772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121302000311220 is a wasteful number, since it uses less digits than its factorization.

121302000311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8021662 (or 8021657 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121302000311220 its reverse (22113000203121), we get a palindrome (143415000514341).

The spelling of 121302000311220 in words is "one hundred twenty-one trillion, three hundred two billion, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1151 1314 1460 2190 2302 2628 3285 3453 4380 4604 5755 6570 6906 10359 11510 13140 13812 17265 20718 23020 34530 41436 51795 69060 84023 103590 168046 207180 252069 336092 420115 504138 756207 840230 1008276 1260345 1512414 1680460 2520690 3024828 3781035 5041380 7562070 8020423 15124140 16040846 24061269 32081692 40102115 48122538 72183807 80204230 96245076 120306345 144367614 160408460 240612690 288735228 360919035 481225380 585490879 721838070 1170981758 1443676140 1756472637 2341963516 2927454395 3512945274 5269417911 5854908790 7025890548 8782363185 9231506873 10538835822 11709817580 17564726370 18463013746 21077671644 26347089555 27694520619 35129452740 36926027492 46157534365 52694179110 55389041238 83083561857 92315068730 105388358220 110778082476 138472603095 166167123714 184630137460 276945206190 332334247428 415417809285 553890412380 673900001729 830835618570 1347800003458 1661671237140 2021700005187 2695600006916 3369500008645 4043400010374 6065100015561 6739000017290 8086800020748 10108500025935 12130200031122 13478000034580 20217000051870 24260400062244 30325500077805 40434000103740 60651000155610 121302000311220