123186960 has 320 divisors, whose sum is σ = 472469760. Its totient is φ = 29306880.

The previous prime is 123186911. The next prime is 123186961. The reversal of 123186960 is 69681321.

It is a super-2 number, since 2×123186960² = 30350054228083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123186961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1151227 + ... + 1151333.

It is an arithmetic number, because the mean of its divisors is an integer number (1476468).

Almost surely, 2^123186960 is an apocalyptic number.

123186960 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 123186960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236234880).

123186960 is an abundant number, since it is smaller than the sum of its proper divisors (349282800).

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

123186960 is a wasteful number, since it uses less digits than its factorization.

123186960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 123186960 is about 11098.9621136393. The cubic root of 123186960 is about 497.5708307188.

The spelling of 123186960 in words is "one hundred twenty-three million, one hundred eighty-six thousand, nine hundred sixty".