123388272 has 300 divisors, whose sum is σ = 436166280. Its totient is φ = 33530112.

The previous prime is 123388267. The next prime is 123388297. The reversal of 123388272 is 272883321.

It is a happy number.

123388272 is a `hidden beast` number, since 1 + 2 + 3 + 388 + 272 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1841583 + ... + 1841649.

Almost surely, 2^123388272 is an apocalyptic number.

123388272 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 123388272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218083140).

123388272 is an abundant number, since it is smaller than the sum of its proper divisors (312778008).

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

123388272 is a wasteful number, since it uses less digits than its factorization.

123388272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 123388272 is about 11108.0273676292. The cubic root of 123388272 is about 497.8417264486.

The spelling of 123388272 in words is "one hundred twenty-three million, three hundred eighty-eight thousand, two hundred seventy-two".