123351360 has 112 divisors (see below), whose sum is σ = 427280832. Its totient is φ = 29900800.

The previous prime is 123351343. The next prime is 123351367. The reversal of 123351360 is 63153321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 123351360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123351367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4720 + ... + 16400.

Almost surely, 2^123351360 is an apocalyptic number.

123351360 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 123351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213640416).

123351360 is an abundant number, since it is smaller than the sum of its proper divisors (303929472).

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

123351360 is a wasteful number, since it uses less digits than its factorization.

123351360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11712 (or 11702 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 123351360 is about 11106.3657422219. The cubic root of 123351360 is about 497.7920778441.

It can be divided in two parts, 12335 and 1360, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 123351360 in words is "one hundred twenty-three million, three hundred fifty-one thousand, three hundred sixty".