112002022122120 has 128 divisors (see below), whose sum is σ = 402058541001600. Its totient is φ = 27569728518912.

The previous prime is 112002022122119. The next prime is 112002022122121. The reversal of 112002022122120 is 21221220200211.

It is a happy number.

112002022122120 is a `hidden beast` number, since 1 + 1 + 200 + 2 + 0 + 221 + 221 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (112002022122119) and next prime (112002022122121).

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 = 112002022122093 and 112002022122102.

It is not an unprimeable number, because it can be changed into a prime (112002022122121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3988661962 + ... + 3988690041.

It is an arithmetic number, because the mean of its divisors is an integer number (3141082351575).

Almost surely, 2^{112002022122120} is an apocalyptic number.

112002022122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112002022122120 is an abundant number, since it is smaller than the sum of its proper divisors (290056518879480).

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

112002022122120 is a wasteful number, since it uses less digits than its factorization.

112002022122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7977352036 (or 7977352026 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112002022122120 its reverse (21221220200211), we get a palindrome (133223242322331).

The spelling of 112002022122120 in words is "one hundred twelve trillion, two billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty".