2200231113120 has 288 divisors, whose sum is σ = 7717719456720. Its totient is φ = 570389299200.

The previous prime is 2200231113109. The next prime is 2200231113151. The reversal of 2200231113120 is 213111320022.

2200231113120 is a `hidden beast` number, since 2 + 200 + 2 + 311 + 131 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1408294864656 + 791936248464 = 1186716^2 + 889908^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2200231113120² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2200231113093 and 2200231113102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65464320 + ... + 65497920.

Almost surely, 2^{2200231113120} is an apocalyptic number.

2200231113120 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 2200231113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858859728360).

2200231113120 is an abundant number, since it is smaller than the sum of its proper divisors (5517488343600).

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

2200231113120 is a wasteful number, since it uses less digits than its factorization.

2200231113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34888 (or 34877 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2200231113120 its reverse (213111320022), we get a palindrome (2413342433142).

The spelling of 2200231113120 in words is "two trillion, two hundred billion, two hundred thirty-one million, one hundred thirteen thousand, one hundred twenty".