123312792 has 64 divisors (see below), whose sum is σ = 321408000. Its totient is φ = 39381120.

The previous prime is 123312769. The next prime is 123312799. The reversal of 123312792 is 297213321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123312799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78834 + ... + 80382.

It is an arithmetic number, because the mean of its divisors is an integer number (5022000).

Almost surely, 2^123312792 is an apocalyptic number.

123312792 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 123312792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

123312792 is an abundant number, since it is smaller than the sum of its proper divisors (198095208).

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

123312792 is a wasteful number, since it uses less digits than its factorization.

123312792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1692 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 123312792 is about 11104.6293049340. The cubic root of 123312792 is about 497.7401912491.

It can be divided in two parts, 1233 and 12792, that multiplied together give a triangular number (15772536 = T₅₆₁₆).

The spelling of 123312792 in words is "one hundred twenty-three million, three hundred twelve thousand, seven hundred ninety-two".