123191164800 has 1728 divisors, whose sum is σ = 531401925600. Its totient is φ = 27060633600.

The previous prime is 123191164739. The next prime is 123191164903. The reversal of 123191164800 is 8461191321.

123191164800 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 9 + 1 + 1 + 648 + 0 + 0 = 666.

123191164800 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2324361574 + ... + 2324361626.

Almost surely, 2^123191164800 is an apocalyptic number.

123191164800 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 123191164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265700962800).

123191164800 is an abundant number, since it is smaller than the sum of its proper divisors (408210760800).

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

123191164800 is a wasteful number, since it uses less digits than its factorization.

123191164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 123191164800 in words is "one hundred twenty-three billion, one hundred ninety-one million, one hundred sixty-four thousand, eight hundred".