12514137571320 has 1536 divisors, whose sum is σ = 49800838348800. Its totient is φ = 2485524787200.

The previous prime is 12514137571261. The next prime is 12514137571337. The reversal of 12514137571320 is 2317573141521.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 56117208729 + ... + 56117208951.

It is an arithmetic number, because the mean of its divisors is an integer number (32422420800).

Almost surely, 2^{12514137571320} is an apocalyptic number.

12514137571320 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 12514137571320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24900419174400).

12514137571320 is an abundant number, since it is smaller than the sum of its proper divisors (37286700777480).

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

12514137571320 is a wasteful number, since it uses less digits than its factorization.

12514137571320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 12514137571320 in words is "twelve trillion, five hundred fourteen billion, one hundred thirty-seven million, five hundred seventy-one thousand, three hundred twenty".