12013345632400 has 240 divisors, whose sum is σ = 33371063579520. Its totient is φ = 4070722867200.

The previous prime is 12013345632389. The next prime is 12013345632403. The reversal of 12013345632400 is 423654331021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12013345632403) 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, 614766630 + ... + 614786170.

It is an arithmetic number, because the mean of its divisors is an integer number (139046098248).

Almost surely, 2^{12013345632400} is an apocalyptic number.

12013345632400 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 12013345632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16685531789760).

12013345632400 is an abundant number, since it is smaller than the sum of its proper divisors (21357717947120).

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

12013345632400 is a wasteful number, since it uses less digits than its factorization.

12013345632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22122 (or 22111 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 12013345632400 its reverse (423654331021), we get a palindrome (12436999963421).

The spelling of 12013345632400 in words is "twelve trillion, thirteen billion, three hundred forty-five million, six hundred thirty-two thousand, four hundred".