123943772160 has 896 divisors, whose sum is σ = 489476856960. Its totient is φ = 29557260288.

The previous prime is 123943772129. The next prime is 123943772209. The reversal of 123943772160 is 61277349321.

123943772160 is a `hidden beast` number, since 1 + 2 + 394 + 37 + 72 + 160 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 531947404 + ... + 531947636.

It is an arithmetic number, because the mean of its divisors is an integer number (546291135).

Almost surely, 2^123943772160 is an apocalyptic number.

123943772160 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 123943772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244738428480).

123943772160 is an abundant number, since it is smaller than the sum of its proper divisors (365533084800).

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

123943772160 is a wasteful number, since it uses less digits than its factorization.

123943772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 123943772160 in words is "one hundred twenty-three billion, nine hundred forty-three million, seven hundred seventy-two thousand, one hundred sixty".