12698518232400 has 960 divisors, whose sum is σ = 56378034241536. Its totient is φ = 2357102592000.

The previous prime is 12698518232377. The next prime is 12698518232419. The reversal of 12698518232400 is 423281589621.

It is a super-2 number, since 2×12698518232400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37066692 + ... + 37407708.

Almost surely, 2^{12698518232400} is an apocalyptic number.

12698518232400 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 12698518232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28189017120768).

12698518232400 is an abundant number, since it is smaller than the sum of its proper divisors (43679516009136).

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

12698518232400 is a wasteful number, since it uses less digits than its factorization.

12698518232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341100 (or 341089 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 12698518232400 in words is "twelve trillion, six hundred ninety-eight billion, five hundred eighteen million, two hundred thirty-two thousand, four hundred".