123150240 has 192 divisors, whose sum is σ = 446342400. Its totient is φ = 31675392.

The previous prime is 123150239. The next prime is 123150289. The reversal of 123150240 is 42051321.

123150240 is a `hidden beast` number, since 123 + 1 + 502 + 40 = 666.

It is a super-2 number, since 2×123150240² = 30331963224115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 124789 + ... + 125771.

It is an arithmetic number, because the mean of its divisors is an integer number (2324700).

Almost surely, 2^123150240 is an apocalyptic number.

123150240 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 123150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223171200).

123150240 is an abundant number, since it is smaller than the sum of its proper divisors (323192160).

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

123150240 is a wasteful number, since it uses less digits than its factorization.

123150240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 123150240 is about 11097.3077816198. The cubic root of 123150240 is about 497.5213865877.

The spelling of 123150240 in words is "one hundred twenty-three million, one hundred fifty thousand, two hundred forty".