123642288 has 360 divisors, whose sum is σ = 463095360. Its totient is φ = 31570560.

The previous prime is 123642287. The next prime is 123642301. The reversal of 123642288 is 882246321.

123642288 is a `hidden beast` number, since 1 + 2 + 3 + 642 + 2 + 8 + 8 = 666.

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 not an unprimeable number, because it can be changed into a prime (123642287) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2095603 + ... + 2095661.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^123642288 is an apocalyptic number.

123642288 is a gapful number since it is divisible by the number (18) 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 123642288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231547680).

123642288 is an abundant number, since it is smaller than the sum of its proper divisors (339453072).

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

123642288 is a wasteful number, since it uses less digits than its factorization.

123642288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 123642288 is about 11119.4553823467. The cubic root of 123642288 is about 498.1831232478.

It can be divided in two parts, 123 and 642288, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 123642288 in words is "one hundred twenty-three million, six hundred forty-two thousand, two hundred eighty-eight".