12104231002400 has 288 divisors, whose sum is σ = 31912773076800. Its totient is φ = 4468049510400.

The previous prime is 12104231002397. The next prime is 12104231002459. The reversal of 12104231002400 is 420013240121.

It is a super-2 number, since 2×12104231002400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410674064 + ... + 410703536.

It is an arithmetic number, because the mean of its divisors is an integer number (110808239850).

Almost surely, 2^{12104231002400} is an apocalyptic number.

12104231002400 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 12104231002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15956386538400).

12104231002400 is an abundant number, since it is smaller than the sum of its proper divisors (19808542074400).

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

12104231002400 is a wasteful number, since it uses less digits than its factorization.

12104231002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30212 (or 30199 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12104231002400 its reverse (420013240121), we get a palindrome (12524244242521).

The spelling of 12104231002400 in words is "twelve trillion, one hundred four billion, two hundred thirty-one million, two thousand, four hundred".