12059942400 has 720 divisors, whose sum is σ = 48759879168. Its totient is φ = 2820096000.

The previous prime is 12059942387. The next prime is 12059942423. The reversal of 12059942400 is 424995021.

12059942400 is a `hidden beast` number, since 1 + 20 + 599 + 4 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39283047 + ... + 39283353.

Almost surely, 2^12059942400 is an apocalyptic number.

12059942400 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 12059942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24379939584).

12059942400 is an abundant number, since it is smaller than the sum of its proper divisors (36699936768).

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

12059942400 is a wasteful number, since it uses less digits than its factorization.

12059942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

It can be divided in two parts, 12059 and 942400, that added together give a palindrome (954459).

The spelling of 12059942400 in words is "twelve billion, fifty-nine million, nine hundred forty-two thousand, four hundred".