123393221952 has 896 divisors, whose sum is σ = 459628646400. Its totient is φ = 28346572800.

The previous prime is 123393221951. The next prime is 123393221999. The reversal of 123393221952 is 259122393321.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123393221951) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 941932927 + ... + 941933057.

It is an arithmetic number, because the mean of its divisors is an integer number (512978400).

Almost surely, 2^123393221952 is an apocalyptic number.

123393221952 is a gapful number since it is divisible by the number (12) 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 123393221952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229814323200).

123393221952 is an abundant number, since it is smaller than the sum of its proper divisors (336235424448).

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

123393221952 is a wasteful number, since it uses less digits than its factorization.

123393221952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 196 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The spelling of 123393221952 in words is "one hundred twenty-three billion, three hundred ninety-three million, two hundred twenty-one thousand, nine hundred fifty-two".