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22212132022120 = 23519922091126317
BaseRepresentation
bin1010000110011101010100…
…01111010010011101101000
32220122110101200010121202211
411003032222033102131220
510402410421244201440
6115124040152334504
74451526223662565
oct503165217223550
986573350117684
1022212132022120
117094126503887
1225a8a3a0a4434
13c51797474a91
1456b10417586c
15287bc6435eea
hex1433aa3d2768

22212132022120 has 64 divisors (see below), whose sum is σ = 50231110608000. Its totient is φ = 8839735153920.

The previous prime is 22212132022111. The next prime is 22212132022207. The reversal of 22212132022120 is 2122023121222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22212132022091 and 22212132022100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175781202 + ... + 175907518.

It is an arithmetic number, because the mean of its divisors is an integer number (784861103250).

Almost surely, 222212132022120 is an apocalyptic number.

22212132022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212132022120 is an abundant number, since it is smaller than the sum of its proper divisors (28018978585880).

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

22212132022120 is a wasteful number, since it uses less digits than its factorization.

22212132022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148618 (or 148614 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 22212132022120 its reverse (2122023121222), we get a palindrome (24334155143342).

The spelling of 22212132022120 in words is "twenty-two trillion, two hundred twelve billion, one hundred thirty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 199 398 796 995 1592 1990 3980 7960 22091 44182 88364 110455 126317 176728 220910 252634 441820 505268 631585 883640 1010536 1263170 2526340 4396109 5052680 8792218 17584436 21980545 25137083 35168872 43961090 50274166 87922180 100548332 125685415 175844360 201096664 251370830 502741660 1005483320 2790468847 5580937694 11161875388 13952344235 22323750776 27904688470 55809376940 111618753880 555303300553 1110606601106 2221213202212 2776516502765 4442426404424 5553033005530 11106066011060 22212132022120