12087250400 has 144 divisors (see below), whose sum is σ = 29918085120. Its totient is φ = 4768243200.

The previous prime is 12087250361. The next prime is 12087250403. The reversal of 12087250400 is 405278021.

It is a super-2 number, since 2×12087250400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12087250403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27533381 + ... + 27533819.

It is an arithmetic number, because the mean of its divisors is an integer number (207764480).

Almost surely, 2^12087250400 is an apocalyptic number.

12087250400 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 12087250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14959042560).

12087250400 is an abundant number, since it is smaller than the sum of its proper divisors (17830834720).

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

12087250400 is a wasteful number, since it uses less digits than its factorization.

12087250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The spelling of 12087250400 in words is "twelve billion, eighty-seven million, two hundred fifty thousand, four hundred".