123712880 has 80 divisors (see below), whose sum is σ = 296418528. Its totient is φ = 48000000.

The previous prime is 123712877. The next prime is 123712891. The reversal of 123712880 is 88217321.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492755 + ... + 493005.

Almost surely, 2^123712880 is an apocalyptic number.

123712880 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 123712880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148209264).

123712880 is an abundant number, since it is smaller than the sum of its proper divisors (172705648).

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

123712880 is a wasteful number, since it uses less digits than its factorization.

123712880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 123712880 is about 11122.6291855838. The cubic root of 123712880 is about 498.2779156603.

It can be divided in two parts, 12371 and 2880, that added together give a palindrome (15251).

The spelling of 123712880 in words is "one hundred twenty-three million, seven hundred twelve thousand, eight hundred eighty".