12139416000 has 448 divisors, whose sum is σ = 45608808960. Its totient is φ = 3159475200.

The previous prime is 12139415999. The next prime is 12139416007. The reversal of 12139416000 is 61493121.

12139416000 is a `hidden beast` number, since 1 + 2 + 13 + 9 + 41 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12139416007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9287347 + ... + 9288653.

Almost surely, 2^12139416000 is an apocalyptic number.

12139416000 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 12139416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22804404480).

12139416000 is an abundant number, since it is smaller than the sum of its proper divisors (33469392960).

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

12139416000 is a wasteful number, since it uses less digits than its factorization.

12139416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12139416000 in words is "twelve billion, one hundred thirty-nine million, four hundred sixteen thousand".