12059631962400 has 288 divisors, whose sum is σ = 43061906361600. Its totient is φ = 2907213337600.

The previous prime is 12059631962383. The next prime is 12059631962407. The reversal of 12059631962400 is 426913695021.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12059631962400.

It is not an unprimeable number, because it can be changed into a prime (12059631962407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3449611 + ... + 6001589.

It is an arithmetic number, because the mean of its divisors is an integer number (149520508200).

Almost surely, 2^{12059631962400} is an apocalyptic number.

12059631962400 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 12059631962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21530953180800).

12059631962400 is an abundant number, since it is smaller than the sum of its proper divisors (31002274399200).

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

12059631962400 is a wasteful number, since it uses less digits than its factorization.

12059631962400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552192 (or 2552179 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

It can be divided in two parts, 12059631 and 962400, that added together give a palindrome (13022031).

The spelling of 12059631962400 in words is "twelve trillion, fifty-nine billion, six hundred thirty-one million, nine hundred sixty-two thousand, four hundred".