123313048320 has 1152 divisors, whose sum is σ = 517513328640. Its totient is φ = 24277155840.

The previous prime is 123313048319. The next prime is 123313048337. The reversal of 123313048320 is 23840313321.

It is a super-2 number, since 2×123313048320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 625954462 + ... + 625954658.

It is an arithmetic number, because the mean of its divisors is an integer number (449230320).

Almost surely, 2^123313048320 is an apocalyptic number.

123313048320 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 123313048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258756664320).

123313048320 is an abundant number, since it is smaller than the sum of its proper divisors (394200280320).

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

123313048320 is a wasteful number, since it uses less digits than its factorization.

123313048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 123313048320 in words is "one hundred twenty-three billion, three hundred thirteen million, forty-eight thousand, three hundred twenty".