12500400000 has 384 divisors, whose sum is σ = 45323349120. Its totient is φ = 3027200000.

The previous prime is 12500399983. The next prime is 12500400047. The reversal of 12500400000 is 400521.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 13199527 + ... + 13200473.

It is an arithmetic number, because the mean of its divisors is an integer number (118029555).

Almost surely, 2^12500400000 is an apocalyptic number.

12500400000 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 12500400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22661674560).

12500400000 is an abundant number, since it is smaller than the sum of its proper divisors (32822949120).

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

12500400000 is an frugal number, since it uses more digits than its factorization.

12500400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

Adding to 12500400000 its reverse (400521), we get a palindrome (12500800521).

The spelling of 12500400000 in words is "twelve billion, five hundred million, four hundred thousand".