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12232894786560 = 2103357233591531
BaseRepresentation
bin1011001000000011000101…
…0110010010110000000000
31121022110020110201002022000
42302000301112102300000
53100410432031132220
642003414141344000
72401540352023230
oct262006126226000
947273213632260
1012232894786560
113996a3a218018
121456997868000
136a9731a3a8b6
1430410a763cc0
151633141cd390
hexb2031592c00

12232894786560 has 1408 divisors, whose sum is σ = 52022543155200. Its totient is φ = 2665329131520.

The previous prime is 12232894786549. The next prime is 12232894786577. The reversal of 12232894786560 is 6568749823221.

12232894786560 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 28 + 9 + 47 + 8 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7990132995 + ... + 7990134525.

It is a 2-persistent number, because it is pandigital, and so is 2⋅12232894786560 = 24465789573120, but 3⋅12232894786560 = 36698684359680 is not.

Almost surely, 212232894786560 is an apocalyptic number.

12232894786560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12232894786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26011271577600).

12232894786560 is an abundant number, since it is smaller than the sum of its proper divisors (39789648368640).

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

12232894786560 is a wasteful number, since it uses less digits than its factorization.

12232894786560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 12232894786560 in words is "twelve trillion, two hundred thirty-two billion, eight hundred ninety-four million, seven hundred eighty-six thousand, five hundred sixty".