123651120 has 80 divisors (see below), whose sum is σ = 390591072. Its totient is φ = 32348160.

The previous prime is 123651103. The next prime is 123651193. The reversal of 123651120 is 21156321.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7860 + ... + 17580.

Almost surely, 2^123651120 is an apocalyptic number.

123651120 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 123651120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195295536).

123651120 is an abundant number, since it is smaller than the sum of its proper divisors (266939952).

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

123651120 is a wasteful number, since it uses less digits than its factorization.

123651120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9790 (or 9784 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 123651120 is about 11119.8525170076. The cubic root of 123651120 is about 498.1949850163.

The spelling of 123651120 in words is "one hundred twenty-three million, six hundred fifty-one thousand, one hundred twenty".