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12430469572920 = 2334571926124889
BaseRepresentation
bin1011010011100011000110…
…1110010010100100111000
31122000100012210112011010000
42310320301232102210320
53112130100202313140
642234251234553000
72422033424011440
oct264706156224470
948010183464100
1012430469572920
113a62807015323
121489137138760
136c225a7838c9
1430d8d0701120
1516852979aa30
hexb4e31b92938

12430469572920 has 960 divisors, whose sum is σ = 51222341649600. Its totient is φ = 2647477923840.

The previous prime is 12430469572889. The next prime is 12430469572943. The reversal of 12430469572920 is 2927596403421.

It is a happy number.

12430469572920 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 0 + 4 + 69 + 572 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 499423836 + ... + 499448724.

It is an arithmetic number, because the mean of its divisors is an integer number (53356605885).

Almost surely, 212430469572920 is an apocalyptic number.

12430469572920 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 12430469572920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25611170824800).

12430469572920 is an abundant number, since it is smaller than the sum of its proper divisors (38791872076680).

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

12430469572920 is a wasteful number, since it uses less digits than its factorization.

12430469572920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25018 (or 24986 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 12430469572920 in words is "twelve trillion, four hundred thirty billion, four hundred sixty-nine million, five hundred seventy-two thousand, nine hundred twenty".