123210720 has 144 divisors (see below), whose sum is σ = 436166640. Its totient is φ = 32845824.

The previous prime is 123210719. The next prime is 123210739. The reversal of 123210720 is 27012321.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 123210693 and 123210702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37296 + ... + 40464.

It is an arithmetic number, because the mean of its divisors is an integer number (3028935).

Almost surely, 2^123210720 is an apocalyptic number.

123210720 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 123210720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218083320).

123210720 is an abundant number, since it is smaller than the sum of its proper divisors (312955920).

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

123210720 is an equidigital number, since it uses as much as digits as its factorization.

123210720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 123210720 is about 11100.0324323851. The cubic root of 123210720 is about 497.6028187445.

The spelling of 123210720 in words is "one hundred twenty-three million, two hundred ten thousand, seven hundred twenty".