12408153120 has 864 divisors, whose sum is σ = 50820981120. Its totient is φ = 2743910400.

The previous prime is 12408153119. The next prime is 12408153127. The reversal of 12408153120 is 2135180421.

12408153120 is a `hidden beast` number, since 12 + 40 + 81 + 531 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (12408153127) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 174762685 + ... + 174762755.

It is an arithmetic number, because the mean of its divisors is an integer number (58820580).

Almost surely, 2^12408153120 is an apocalyptic number.

12408153120 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 12408153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25410490560).

12408153120 is an abundant number, since it is smaller than the sum of its proper divisors (38412828000).

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

12408153120 is a wasteful number, since it uses less digits than its factorization.

12408153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12408153120 in words is "twelve billion, four hundred eight million, one hundred fifty-three thousand, one hundred twenty".