12701795040 has 288 divisors, whose sum is σ = 47393289216. Its totient is φ = 3072199680.

The previous prime is 12701795033. The next prime is 12701795087. The reversal of 12701795040 is 4059710721.

It is a happy number.

12701795040 is a `hidden beast` number, since 12 + 70 + 1 + 79 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12701795040² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12701794986 and 12701795004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11515129 + ... + 11516231.

It is an arithmetic number, because the mean of its divisors is an integer number (164560032).

Almost surely, 2^12701795040 is an apocalyptic number.

12701795040 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 12701795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23696644608).

12701795040 is an abundant number, since it is smaller than the sum of its proper divisors (34691494176).

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

12701795040 is a wasteful number, since it uses less digits than its factorization.

12701795040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 12701795040 in words is "twelve billion, seven hundred one million, seven hundred ninety-five thousand, forty".