1022112120 has 64 divisors (see below), whose sum is σ = 3093513120. Its totient is φ = 270147584.

The previous prime is 1022112109. The next prime is 1022112127. The reversal of 1022112120 is 212112201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1022112096 and 1022112105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022112127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24129 + ... + 51248.

Almost surely, 2^1022112120 is an apocalyptic number.

1022112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022112120 is an abundant number, since it is smaller than the sum of its proper divisors (2071401000).

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

1022112120 is a wasteful number, since it uses less digits than its factorization.

1022112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75504 (or 75500 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1022112120 is about 31970.4882665248. The cubic root of 1022112120 is about 1007.3170370531.

Adding to 1022112120 its reverse (212112201), we get a palindrome (1234224321).

The spelling of 1022112120 in words is "one billion, twenty-two million, one hundred twelve thousand, one hundred twenty".