2200971165120 has 840 divisors, whose sum is σ = 9808134535584. Its totient is φ = 464377245696.

The previous prime is 2200971165101. The next prime is 2200971165143. The reversal of 2200971165120 is 215611790022.

2200971165120 is a `hidden beast` number, since 2 + 20 + 0 + 9 + 7 + 116 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×2200971165120² (a number of 25 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 16444389 + ... + 16577691.

Almost surely, 2^{2200971165120} is an apocalyptic number.

2200971165120 is a gapful number since it is divisible by the number (20) 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 2200971165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904067267792).

2200971165120 is an abundant number, since it is smaller than the sum of its proper divisors (7607163370464).

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

2200971165120 is a wasteful number, since it uses less digits than its factorization.

2200971165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133359 (or 133333 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 2200971165120 in words is "two trillion, two hundred billion, nine hundred seventy-one million, one hundred sixty-five thousand, one hundred twenty".