123322528800 has 864 divisors, whose sum is σ = 476013283200. Its totient is φ = 29926195200.

The previous prime is 123322528793. The next prime is 123322528831. The reversal of 123322528800 is 8825223321.

It is a happy number.

123322528800 is a `hidden beast` number, since 1 + 2 + 33 + 22 + 528 + 80 + 0 = 666.

It is a super-2 number, since 2×123322528800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 619711101 + ... + 619711299.

It is an arithmetic number, because the mean of its divisors is an integer number (550941300).

Almost surely, 2^123322528800 is an apocalyptic number.

123322528800 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 123322528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238006641600).

123322528800 is an abundant number, since it is smaller than the sum of its proper divisors (352690754400).

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

123322528800 is a wasteful number, since it uses less digits than its factorization.

123322528800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 123322528800 in words is "one hundred twenty-three billion, three hundred twenty-two million, five hundred twenty-eight thousand, eight hundred".