12124705320 has 1280 divisors, whose sum is σ = 55324684800. Its totient is φ = 2309160960.

The previous prime is 12124705319. The next prime is 12124705331. The reversal of 12124705320 is 2350742121.

12124705320 is a `hidden beast` number, since 1 + 2 + 124 + 7 + 0 + 532 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 319 ways as a sum of consecutive naturals, for example, 205503451 + ... + 205503509.

It is an arithmetic number, because the mean of its divisors is an integer number (43222410).

Almost surely, 2^12124705320 is an apocalyptic number.

12124705320 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 12124705320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27662342400).

12124705320 is an abundant number, since it is smaller than the sum of its proper divisors (43199979480).

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

12124705320 is a wasteful number, since it uses less digits than its factorization.

12124705320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 12124705320 in words is "twelve billion, one hundred twenty-four million, seven hundred five thousand, three hundred twenty".