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220212212021120 = 2751163737490769
BaseRepresentation
bin110010000100100000100110…
…101011000011011110000000
31001212201002012200110012101002
4302010200212223003132000
5212330424102234133440
62100204032115431132
764245543620632514
oct6204404653033600
91055632180405332
10220212212021120
1164191524846820
12208467282b54a8
1395b4bcb92c387
143c54483bb2144
151a6d35954b115
hexc84826ac3780

220212212021120 has 128 divisors (see below), whose sum is σ = 574313620053600. Its totient is φ = 80075748474880.

The previous prime is 220212212021119. The next prime is 220212212021129. The reversal of 220212212021120 is 21120212212022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220212212021092 and 220212212021101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212212021129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448463096 + ... + 448953864.

Almost surely, 2220212212021120 is an apocalyptic number.

220212212021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212212021120 is an abundant number, since it is smaller than the sum of its proper divisors (354101408032480).

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

220212212021120 is a wasteful number, since it uses less digits than its factorization.

220212212021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554536 (or 554524 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 220212212021120 its reverse (21120212212022), we get a palindrome (241332424233142).

The spelling of 220212212021120 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred twelve million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 63737 127474 254948 318685 490769 509896 637370 701107 981538 1019792 1274740 1402214 1963076 2039584 2453845 2549480 2804428 3505535 3926152 4079168 4907690 5098960 5398459 5608856 7011070 7852304 8158336 9815380 10197920 10796918 11217712 14022140 15704608 19630760 20395840 21593836 22435424 26992295 28044280 31409216 39261520 40791680 43187672 44870848 53984590 56088560 62818432 78523040 86375344 89741696 107969180 112177120 157046080 172750688 215938360 224354240 314092160 345501376 431876720 448708480 691002752 863753440 1727506880 3455013760 31280143753 62560287506 125120575012 156400718765 250241150024 312801437530 344081581283 500482300048 625602875060 688163162566 1000964600096 1251205750120 1376326325132 1720407906415 2001929200192 2502411500240 2752652650264 3440815812830 4003858400384 5004823000480 5505305300528 6881631625660 10009646000960 11010610601056 13763263251320 20019292001920 22021221202112 27526526502640 44042442404224 55053053005280 110106106010560 220212212021120