12724606606140 has 288 divisors, whose sum is σ = 45354582314496. Its totient is φ = 2846917393920.

The previous prime is 12724606606081. The next prime is 12724606606157. The reversal of 12724606606140 is 4160660642721.

12724606606140 is a `hidden beast` number, since 1 + 2 + 7 + 24 + 6 + 0 + 6 + 6 + 0 + 614 + 0 = 666.

12724606606140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12724606606140² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142220259 + ... + 142309701.

It is an arithmetic number, because the mean of its divisors is an integer number (157481188592).

Almost surely, 2^{12724606606140} is an apocalyptic number.

12724606606140 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 12724606606140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22677291157248).

12724606606140 is an abundant number, since it is smaller than the sum of its proper divisors (32629975708356).

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

12724606606140 is a wasteful number, since it uses less digits than its factorization.

12724606606140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95009 (or 95004 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 12724606606140 in words is "twelve trillion, seven hundred twenty-four billion, six hundred six million, six hundred six thousand, one hundred forty".