123564294720 has 672 divisors, whose sum is σ = 468108426240. Its totient is φ = 30957189120.

The previous prime is 123564294719. The next prime is 123564294761. The reversal of 123564294720 is 27492465321.

123564294720 is a `hidden beast` number, since 1 + 2 + 3 + 564 + 29 + 47 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105519735 + ... + 105520905.

It is an arithmetic number, because the mean of its divisors is an integer number (696589920).

Almost surely, 2^123564294720 is an apocalyptic number.

123564294720 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 123564294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234054213120).

123564294720 is an abundant number, since it is smaller than the sum of its proper divisors (344544131520).

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

123564294720 is a wasteful number, since it uses less digits than its factorization.

123564294720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 123564294720 in words is "one hundred twenty-three billion, five hundred sixty-four million, two hundred ninety-four thousand, seven hundred twenty".