12405861720 has 256 divisors, whose sum is σ = 48538828800. Its totient is φ = 2758924800.

The previous prime is 12405861719. The next prime is 12405861749. The reversal of 12405861720 is 2716850421.

12405861720 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 586 + 1 + 72 + 0 = 666.

It is a super-2 number, since 2×12405861720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257545 + ... + 301895.

It is an arithmetic number, because the mean of its divisors is an integer number (189604800).

Almost surely, 2^12405861720 is an apocalyptic number.

12405861720 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 12405861720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24269414400).

12405861720 is an abundant number, since it is smaller than the sum of its proper divisors (36132967080).

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

12405861720 is a wasteful number, since it uses less digits than its factorization.

12405861720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44415 (or 44405 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12405861720 in words is "twelve billion, four hundred five million, eight hundred sixty-one thousand, seven hundred twenty".