123379200 has 600 divisors, whose sum is σ = 552567312. Its totient is φ = 26542080.

The previous prime is 123379189. The next prime is 123379211. The reversal of 123379200 is 2973321.

It is an interprime number because it is at equal distance from previous prime (123379189) and next prime (123379211).

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7257592 + ... + 7257608.

Almost surely, 2^123379200 is an apocalyptic number.

123379200 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 123379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276283656).

123379200 is an abundant number, since it is smaller than the sum of its proper divisors (429188112).

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

123379200 is an equidigital number, since it uses as much as digits as its factorization.

123379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 123379200 is about 11107.6190067899. The cubic root of 123379200 is about 497.8295250436.

The spelling of 123379200 in words is "one hundred twenty-three million, three hundred seventy-nine thousand, two hundred".