123371952 has 120 divisors (see below), whose sum is σ = 358935360. Its totient is φ = 36211200.

The previous prime is 123371933. The next prime is 123371999. The reversal of 123371952 is 259173321.

It is a super-3 number, since 3×123371952³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 887499 + ... + 887637.

It is an arithmetic number, because the mean of its divisors is an integer number (2991128).

Almost surely, 2^123371952 is an apocalyptic number.

123371952 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 123371952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179467680).

123371952 is an abundant number, since it is smaller than the sum of its proper divisors (235563408).

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

123371952 is a wasteful number, since it uses less digits than its factorization.

123371952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 196 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 123371952 is about 11107.2927394573. The cubic root of 123371952 is about 497.8197764013.

The spelling of 123371952 in words is "one hundred twenty-three million, three hundred seventy-one thousand, nine hundred fifty-two".