12123090374400 has 1944 divisors, whose sum is σ = 49105349886320. Its totient is φ = 2960423976960.

The previous prime is 12123090374359. The next prime is 12123090374429. The reversal of 12123090374400 is 447309032121.

It is a happy number.

12123090374400 is a `hidden beast` number, since 1 + 2 + 123 + 0 + 90 + 3 + 7 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 327651091182 + ... + 327651091218.

Almost surely, 2^{12123090374400} is an apocalyptic number.

12123090374400 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 12123090374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24552674943160).

12123090374400 is an abundant number, since it is smaller than the sum of its proper divisors (36982259511920).

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

12123090374400 is an frugal number, since it uses more digits than its factorization.

12123090374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12123090374400 in words is "twelve trillion, one hundred twenty-three billion, ninety million, three hundred seventy-four thousand, four hundred".