12007371600 has 540 divisors, whose sum is σ = 49630591296. Its totient is φ = 2679022080.

The previous prime is 12007371581. The next prime is 12007371611. The reversal of 12007371600 is 617370021.

12007371600 is a `hidden beast` number, since 1 + 20 + 0 + 7 + 37 + 1 + 600 = 666.

It is a super-4 number, since 4×12007371600⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7584409 + ... + 7585991.

Almost surely, 2^12007371600 is an apocalyptic number.

12007371600 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 12007371600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24815295648).

12007371600 is an abundant number, since it is smaller than the sum of its proper divisors (37623219696).

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

12007371600 is a wasteful number, since it uses less digits than its factorization.

12007371600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The spelling of 12007371600 in words is "twelve billion, seven million, three hundred seventy-one thousand, six hundred".