12123315177600 has 384 divisors, whose sum is σ = 43569480303360. Its totient is φ = 2938432000000.

The previous prime is 12123315177581. The next prime is 12123315177613. The reversal of 12123315177600 is 677151332121.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 989571475 + ... + 989583725.

It is an arithmetic number, because the mean of its divisors is an integer number (113462188290).

Almost surely, 2^{12123315177600} is an apocalyptic number.

12123315177600 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 12123315177600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21784740151680).

12123315177600 is an abundant number, since it is smaller than the sum of its proper divisors (31446165125760).

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

12123315177600 is a wasteful number, since it uses less digits than its factorization.

12123315177600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21660 (or 21643 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 12123315177600 in words is "twelve trillion, one hundred twenty-three billion, three hundred fifteen million, one hundred seventy-seven thousand, six hundred".