12162006537120 has 1536 divisors, whose sum is σ = 49062583664640. Its totient is φ = 2813069952000.

The previous prime is 12162006537119. The next prime is 12162006537139. The reversal of 12162006537120 is 2173560026121.

12162006537120 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 200 + 65 + 371 + 20 = 666.

It is a super-2 number, since 2×12162006537120² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 171295866685 + ... + 171295866755.

It is an arithmetic number, because the mean of its divisors is an integer number (31941786240).

Almost surely, 2^{12162006537120} is an apocalyptic number.

12162006537120 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 12162006537120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24531291832320).

12162006537120 is an abundant number, since it is smaller than the sum of its proper divisors (36900577127520).

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

12162006537120 is an frugal number, since it uses more digits than its factorization.

12162006537120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12162006537120 in words is "twelve trillion, one hundred sixty-two billion, six million, five hundred thirty-seven thousand, one hundred twenty".