13662212325120 has 864 divisors, whose sum is σ = 49661393326272. Its totient is φ = 3463996243968.

The previous prime is 13662212325119. The next prime is 13662212325193. The reversal of 13662212325120 is 2152321226631.

13662212325120 is a `hidden beast` number, since 1 + 3 + 6 + 622 + 1 + 2 + 3 + 2 + 5 + 1 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 6393172692 + ... + 6393174828.

It is an arithmetic number, because the mean of its divisors is an integer number (57478464498).

Almost surely, 2^{13662212325120} is an apocalyptic number.

13662212325120 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 13662212325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24830696663136).

13662212325120 is an abundant number, since it is smaller than the sum of its proper divisors (35999181001152).

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

13662212325120 is a wasteful number, since it uses less digits than its factorization.

13662212325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13662212325120 in words is "thirteen trillion, six hundred sixty-two billion, two hundred twelve million, three hundred twenty-five thousand, one hundred twenty".