2172116181312 has 560 divisors, whose sum is σ = 8089110120960. Its totient is φ = 559865779200.

The previous prime is 2172116181311. The next prime is 2172116181317. The reversal of 2172116181312 is 2131816112712.

It is a happy number.

2172116181312 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 1 + 1 + 618 + 1 + 31 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172116181311) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52270239 + ... + 52311777.

Almost surely, 2^{2172116181312} is an apocalyptic number.

2172116181312 is a gapful number since it is divisible by the number (22) 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 2172116181312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044555060480).

2172116181312 is an abundant number, since it is smaller than the sum of its proper divisors (5916993939648).

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

2172116181312 is a wasteful number, since it uses less digits than its factorization.

2172116181312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41712 (or 41693 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The spelling of 2172116181312 in words is "two trillion, one hundred seventy-two billion, one hundred sixteen million, one hundred eighty-one thousand, three hundred twelve".