12120872400 has 600 divisors, whose sum is σ = 53552516864. Its totient is φ = 2556748800.

The previous prime is 12120872389. The next prime is 12120872417. The reversal of 12120872400 is 427802121.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2946345 + ... + 2950455.

Almost surely, 2^12120872400 is an apocalyptic number.

12120872400 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 12120872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26776258432).

12120872400 is an abundant number, since it is smaller than the sum of its proper divisors (41431644464).

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

12120872400 is a wasteful number, since it uses less digits than its factorization.

12120872400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 12120872400 in words is "twelve billion, one hundred twenty million, eight hundred seventy-two thousand, four hundred".