123286720 has 112 divisors (see below), whose sum is σ = 315029088. Its totient is φ = 45793280.

The previous prime is 123286717. The next prime is 123286727. The reversal of 123286720 is 27682321.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123286727) 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, 712554 + ... + 712726.

Almost surely, 2^123286720 is an apocalyptic number.

123286720 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 123286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157514544).

123286720 is an abundant number, since it is smaller than the sum of its proper divisors (191742368).

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

123286720 is a wasteful number, since it uses less digits than its factorization.

123286720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 123286720 is about 11103.4553180530. The cubic root of 123286720 is about 497.7051097388.

The spelling of 123286720 in words is "one hundred twenty-three million, two hundred eighty-six thousand, seven hundred twenty".