12087986400 has 972 divisors, whose sum is σ = 52584478128. Its totient is φ = 2704181760.

The previous prime is 12087986387. The next prime is 12087986419. The reversal of 12087986400 is 468978021.

It is a tau number, because it is divible by the number of its divisors (972).

It is a super-2 number, since 2×12087986400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 257191177 + ... + 257191223.

Almost surely, 2^12087986400 is an apocalyptic number.

12087986400 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 12087986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26292239064).

12087986400 is an abundant number, since it is smaller than the sum of its proper divisors (40496491728).

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

12087986400 is an frugal number, since it uses more digits than its factorization.

12087986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12087986400 in words is "twelve billion, eighty-seven million, nine hundred eighty-six thousand, four hundred".