123957120 has 256 divisors, whose sum is σ = 472366080. Its totient is φ = 27033600.

The previous prime is 123957109. The next prime is 123957133. The reversal of 123957120 is 21759321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308920 + ... + 309320.

It is an arithmetic number, because the mean of its divisors is an integer number (1845180).

Almost surely, 2^123957120 is an apocalyptic number.

123957120 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 123957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236183040).

123957120 is an abundant number, since it is smaller than the sum of its proper divisors (348408960).

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

123957120 is a wasteful number, since it uses less digits than its factorization.

123957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 123957120 is about 11133.6031903423. The cubic root of 123957120 is about 498.6056082917.

The spelling of 123957120 in words is "one hundred twenty-three million, nine hundred fifty-seven thousand, one hundred twenty".