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121002122000100 = 2235211132492767553
BaseRepresentation
bin11011100000110100000000…
…011111111011011011100100
3120212102200121221010020022210
4123200310000133323123210
5111324444321213000400
61105203335113123420
734326054245506335
oct3340640037733344
9525380557106283
10121002122000100
11356117913941a0
12116a30319b9570
1352695b3216c73
1421c476924c28c
15dec82232c950
hex6e0d007fb6e4

121002122000100 has 144 divisors (see below), whose sum is σ = 381955662648000. Its totient is φ = 29331623116800.

The previous prime is 121002122000009. The next prime is 121002122000101. The reversal of 121002122000100 is 1000221200121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (121002122000101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42337924 + ... + 45105476.

It is an arithmetic number, because the mean of its divisors is an integer number (2652469879500).

Almost surely, 2121002122000100 is an apocalyptic number.

121002122000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121002122000100 is an abundant number, since it is smaller than the sum of its proper divisors (260953540647900).

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

121002122000100 is a wasteful number, since it uses less digits than its factorization.

121002122000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780830 (or 2780823 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121002122000100 its reverse (1000221200121), we get a palindrome (122002343200221).

The spelling of 121002122000100 in words is "one hundred twenty-one trillion, two billion, one hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 13249 26498 39747 52996 66245 79494 132490 145739 158988 198735 264980 291478 331225 397470 437217 582956 662450 728695 794940 874434 993675 1324900 1457390 1748868 1987350 2186085 2767553 2914780 3643475 3974700 4372170 5535106 7286950 8302659 8744340 10930425 11070212 13837765 14573900 16605318 21860850 27675530 30443083 33210636 41513295 43721700 55351060 60886166 69188825 83026590 91329249 121772332 138377650 152215415 166053180 182658498 207566475 276755300 304430830 365316996 415132950 456646245 608861660 761077075 830265900 913292490 1522154150 1826584980 2283231225 3044308300 4566462450 9132924900 36667309697 73334619394 110001929091 146669238788 183336548485 220003858182 366673096970 403340406667 440007716364 550009645455 733346193940 806680813334 916682742425 1100019290910 1210021220001 1613361626668 1833365484850 2016702033335 2200038581820 2420042440002 2750048227275 3666730969700 4033404066670 4840084880004 5500096454550 6050106100005 8066808133340 10083510166675 11000192909100 12100212200010 20167020333350 24200424400020 30250530500025 40334040666700 60501061000050 121002122000100