2200115131200 has 630 divisors, whose sum is σ = 9407434878006. Its totient is φ = 502882007040.

The previous prime is 2200115131147. The next prime is 2200115131273. The reversal of 2200115131200 is 21315110022.

2200115131200 is a `hidden beast` number, since 2 + 20 + 0 + 11 + 513 + 120 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 290279578176 + 1909835553024 = 538776^2 + 1381968^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 6177174 + ... + 6523626.

Almost surely, 2^{2200115131200} is an apocalyptic number.

2200115131200 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 2200115131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703717439003).

2200115131200 is an abundant number, since it is smaller than the sum of its proper divisors (7207319746806).

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

2200115131200 is a wasteful number, since it uses less digits than its factorization.

2200115131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346501 (or 346470 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 2200115131200 in words is "two trillion, two hundred billion, one hundred fifteen million, one hundred thirty-one thousand, two hundred".