12401334456606 has 120 divisors (see below), whose sum is σ = 28283310455400. Its totient is φ = 4061390406624.

The previous prime is 12401334456523. The next prime is 12401334456691. The reversal of 12401334456606 is 60665443310421.

12401334456606 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 1 + 3 + 34 + 4 + 5 + 6 + 606 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1183667040 + ... + 1183677516.

It is an arithmetic number, because the mean of its divisors is an integer number (235694253795).

Almost surely, 2^{12401334456606} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12401334456606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14141655227700).

12401334456606 is an abundant number, since it is smaller than the sum of its proper divisors (15881975998794).

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

12401334456606 is a wasteful number, since it uses less digits than its factorization.

12401334456606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12708 (or 12640 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 12401334456606 in words is "twelve trillion, four hundred one billion, three hundred thirty-four million, four hundred fifty-six thousand, six hundred six".