12153917600 has 432 divisors, whose sum is σ = 35010009216. Its totient is φ = 4107417600.

The previous prime is 12153917597. The next prime is 12153917639. The reversal of 12153917600 is 671935121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117999149 + ... + 117999251.

It is an arithmetic number, because the mean of its divisors is an integer number (81041688).

Almost surely, 2^12153917600 is an apocalyptic number.

12153917600 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 12153917600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17505004608).

12153917600 is an abundant number, since it is smaller than the sum of its proper divisors (22856091616).

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

12153917600 is a wasteful number, since it uses less digits than its factorization.

12153917600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The spelling of 12153917600 in words is "twelve billion, one hundred fifty-three million, nine hundred seventeen thousand, six hundred".