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122323069120576 = 26192727632
BaseRepresentation
bin11011110100000010001111…
…000101010011000001000000
3121001002222020000011122211211
4123310002033011103001000
5112013120121143324301
61112054235302215504
734523356453666102
oct3364021705230100
9531088200148754
10122323069120576
1135a80a16620aa5
1211877044424594
135334028ca023c
14222c67a7c3572
15e21d85207051
hex6f408f153040

122323069120576 has 63 divisors (see below), whose sum is σ = 256186274707071. Its totient is φ = 57941710107264.

The previous prime is 122323069120529. The next prime is 122323069120691. The reversal of 122323069120576 is 675021960323221.

It is a happy number.

The square root of 122323069120576 is 11059976.

It is a perfect power (a square), and thus also a powerful number.

122323069120576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1681079971 + ... + 1681152733.

Almost surely, 2122323069120576 is an apocalyptic number.

122323069120576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122323069120576 is the 11059976-th square number.

It is an amenable number.

122323069120576 is an abundant number, since it is smaller than the sum of its proper divisors (133863205586495).

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

122323069120576 is an frugal number, since it uses more digits than its factorization.

122323069120576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145576 (or 72784 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 122323069120576 in words is "one hundred twenty-two trillion, three hundred twenty-three billion, sixty-nine million, one hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2888 5776 11552 23104 72763 145526 291052 582104 1164208 1382497 2328416 2764994 4656832 5529988 11059976 22119952 26267443 44239904 52534886 88479808 105069772 210139544 420279088 840558176 1681116352 5294454169 10588908338 21177816676 42355633352 84711266704 100594629211 169422533408 201189258422 338845066816 402378516844 804757033688 1609514067376 1911297955009 3219028134752 3822595910018 6438056269504 7645191820036 15290383640072 30580767280144 61161534560288 122323069120576