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12210022010020 = 22523317053153649
BaseRepresentation
bin1011000110101101111000…
…0001100100110010100100
31121020021012102112122111011
42301223132001210302210
53100022111113310040
641545112350352004
72400100504441432
oct261533601446244
947207172478434
1012210022010020
11398827212350a
1214524737bb604
136a75281344b3
14302d7ab11d52
1516292614e3ea
hexb1ade064ca4

12210022010020 has 48 divisors (see below), whose sum is σ = 25752771298800. Its totient is φ = 4862730571776.

The previous prime is 12210022009993. The next prime is 12210022010023. The reversal of 12210022010020 is 2001022001221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 784864877476 + 11425157132544 = 885926^2 + 3380112^2 .

It is not an unprimeable number, because it can be changed into a prime (12210022010023) 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, 79390156 + ... + 79543804.

It is an arithmetic number, because the mean of its divisors is an integer number (536516068725).

Almost surely, 212210022010020 is an apocalyptic number.

12210022010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210022010020 is an abundant number, since it is smaller than the sum of its proper divisors (13542749288780).

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

12210022010020 is a wasteful number, since it uses less digits than its factorization.

12210022010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170944 (or 170942 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12210022010020 its reverse (2001022001221), we get a palindrome (14211044011241).

The spelling of 12210022010020 in words is "twelve trillion, two hundred ten billion, twenty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 233 466 932 1165 2330 4660 17053 34106 68212 85265 153649 170530 307298 341060 614596 768245 1536490 3072980 3973349 7946698 15893396 19866745 35800217 39733490 71600434 79466980 143200868 179001085 358002170 716004340 2620176397 5240352794 10480705588 13100881985 26201763970 52403527940 610501100501 1221002201002 2442004402004 3052505502505 6105011005010 12210022010020