2112221013120 has 96 divisors (see below), whose sum is σ = 7293763205820. Its totient is φ = 563258935296.

The previous prime is 2112221013107. The next prime is 2112221013127. The reversal of 2112221013120 is 213101222112.

2112221013120 is a `hidden beast` number, since 21 + 122 + 210 + 1 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2034594137664 + 77626875456 = 1426392^2 + 278616^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2112221013120² (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 = 2112221013093 and 2112221013102.

It is not an unprimeable number, because it can be changed into a prime (2112221013127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183346759 + ... + 183358278.

Almost surely, 2^{2112221013120} is an apocalyptic number.

2112221013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112221013120 is an abundant number, since it is smaller than the sum of its proper divisors (5181542192700).

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

2112221013120 is a wasteful number, since it uses less digits than its factorization.

2112221013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366705062 (or 366705047 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2112221013120 its reverse (213101222112), we get a palindrome (2325322235232).

The spelling of 2112221013120 in words is "two trillion, one hundred twelve billion, two hundred twenty-one million, thirteen thousand, one hundred twenty".