13501274120712 has 320 divisors, whose sum is σ = 45767690496000. Its totient is φ = 3630033874944.

The previous prime is 13501274120699. The next prime is 13501274120723. The reversal of 13501274120712 is 21702147210531.

13501274120712 is a `hidden beast` number, since 1 + 3 + 50 + 127 + 412 + 0 + 71 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 827326489 + ... + 827342807.

It is an arithmetic number, because the mean of its divisors is an integer number (143024032800).

Almost surely, 2^{13501274120712} is an apocalyptic number.

13501274120712 is a gapful number since it is divisible by the number (12) 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 13501274120712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22883845248000).

13501274120712 is an abundant number, since it is smaller than the sum of its proper divisors (32266416375288).

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

13501274120712 is a wasteful number, since it uses less digits than its factorization.

13501274120712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27090 (or 27077 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 13501274120712 in words is "thirteen trillion, five hundred one billion, two hundred seventy-four million, one hundred twenty thousand, seven hundred twelve".