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12061043125560 = 233251121343149417
BaseRepresentation
bin1010111110000010111000…
…1100001110110100111000
31120201000122211111011210200
42233200232030032310320
53040102004020004220
641352433340042200
72353244615014422
oct257405614166470
946630584434720
1012061043125560
113930072460600
121429616b33360
136964752a6320
142d9a86c07812
1515db07022890
hexaf82e30ed38

12061043125560 has 576 divisors, whose sum is σ = 46508726759040. Its totient is φ = 2692658073600.

The previous prime is 12061043125517. The next prime is 12061043125597. The reversal of 12061043125560 is 6552134016021.

12061043125560 is a `hidden beast` number, since 1 + 2 + 0 + 61 + 0 + 4 + 31 + 2 + 5 + 560 = 666.

12061043125560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120610431255602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 244041972 + ... + 244091388.

It is an arithmetic number, because the mean of its divisors is an integer number (80744317290).

Almost surely, 212061043125560 is an apocalyptic number.

12061043125560 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 12061043125560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23254363379520).

12061043125560 is an abundant number, since it is smaller than the sum of its proper divisors (34447683633480).

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

12061043125560 is a wasteful number, since it uses less digits than its factorization.

12061043125560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49900 (or 49882 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12061043125560 in words is "twelve trillion, sixty-one billion, forty-three million, one hundred twenty-five thousand, five hundred sixty".