123945120 has 192 divisors, whose sum is σ = 467389440. Its totient is φ = 30495744.

The previous prime is 123945119. The next prime is 123945121. The reversal of 123945120 is 21549321.

It is an interprime number because it is at equal distance from previous prime (123945119) and next prime (123945121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123945121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55057 + ... + 57263.

It is an arithmetic number, because the mean of its divisors is an integer number (2434320).

Almost surely, 2^123945120 is an apocalyptic number.

123945120 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 123945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233694720).

123945120 is an abundant number, since it is smaller than the sum of its proper divisors (343444320).

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

123945120 is a wasteful number, since it uses less digits than its factorization.

123945120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 123945120 is about 11133.0642682058. The cubic root of 123945120 is about 498.5895181567.

The spelling of 123945120 in words is "one hundred twenty-three million, nine hundred forty-five thousand, one hundred twenty".