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12023572964130 = 233571317432392801
BaseRepresentation
bin1010111011110111010011…
…0010111010001100100010
31120120102221110202202102000
42232331310302322030202
53033443234134323010
641323315252304430
72350450226626320
oct256756462721442
946512843682360
1012023572964130
113916194536742
1214222ba312116
13692a8339c880
142d7d30616d10
1515cb626ac7c0
hexaef74cba322

12023572964130 has 1024 divisors, whose sum is σ = 42949199462400. Its totient is φ = 2321503027200.

The previous prime is 12023572964089. The next prime is 12023572964251. The reversal of 12023572964130 is 3146927532021.

It is a happy number.

12023572964130 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 3 + 572 + 9 + 6 + 41 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4292598730 + ... + 4292601530.

It is an arithmetic number, because the mean of its divisors is an integer number (41942577600).

Almost surely, 212023572964130 is an apocalyptic number.

12023572964130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12023572964130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21474599731200).

12023572964130 is an abundant number, since it is smaller than the sum of its proper divisors (30925626498270).

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

12023572964130 is a wasteful number, since it uses less digits than its factorization.

12023572964130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 12023572964130 in words is "twelve trillion, twenty-three billion, five hundred seventy-two million, nine hundred sixty-four thousand, one hundred thirty".