12731141351520 has 768 divisors, whose sum is σ = 45984414873600. Its totient is φ = 3287714365440.

The previous prime is 12731141351507. The next prime is 12731141351549. The reversal of 12731141351520 is 2515314113721.

12731141351520 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 114 + 1 + 3 + 515 + 20 = 666.

It is a super-2 number, since 2×12731141351520² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22064369472 + ... + 22064370048.

It is an arithmetic number, because the mean of its divisors is an integer number (59875540200).

Almost surely, 2^{12731141351520} is an apocalyptic number.

12731141351520 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 12731141351520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22992207436800).

12731141351520 is an abundant number, since it is smaller than the sum of its proper divisors (33253273522080).

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

12731141351520 is a wasteful number, since it uses less digits than its factorization.

12731141351520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 12731141351520 in words is "twelve trillion, seven hundred thirty-one billion, one hundred forty-one million, three hundred fifty-one thousand, five hundred twenty".