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22211002121220 = 223251111217677839
BaseRepresentation
bin1010000110011011001101…
…11001000011110000000100
32220122100110221000201010100
411003031212321003300010
510402401113020334340
6115123332110524100
74451456223663063
oct503154671036004
986570427021110
1022211002121220
1170936a6726590
1225a8783806630
13c51647355273
1456b0380921da
15287b5c145830
hex143366e43c04

22211002121220 has 72 divisors (see below), whose sum is σ = 73498225207680. Its totient is φ = 5384485362240.

The previous prime is 22211002121153. The next prime is 22211002121237. The reversal of 22211002121220 is 2212120011222.

It is a happy number.

22211002121220 is a `hidden beast` number, since 2 + 221 + 10 + 0 + 212 + 1 + 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 = 22211002121193 and 22211002121202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5608836940 + ... + 5608840899.

It is an arithmetic number, because the mean of its divisors is an integer number (1020808683440).

Almost surely, 222211002121220 is an apocalyptic number.

22211002121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22211002121220 is an abundant number, since it is smaller than the sum of its proper divisors (51287223086460).

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

22211002121220 is a wasteful number, since it uses less digits than its factorization.

22211002121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11217677865 (or 11217677860 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22211002121220 its reverse (2212120011222), we get a palindrome (24423122132442).

The spelling of 22211002121220 in words is "twenty-two trillion, two hundred eleven billion, two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 11217677839 22435355678 33653033517 44870711356 56088389195 67306067034 100959100551 112176778390 123394456229 134612134068 168265167585 201918201102 224353556780 246788912458 336530335170 370183368687 403836402204 493577824916 504795502755 616972281145 673060670340 740366737374 1009591005510 1110550106061 1233944562290 1480733474748 1850916843435 2019182011020 2221100212122 2467889124580 3701833686870 4442200424244 5552750530305 7403667373740 11105501060610 22211002121220