1020112120 has 64 divisors (see below), whose sum is σ = 2398183200. Its totient is φ = 390028800.

The previous prime is 1020112087. The next prime is 1020112127. The reversal of 1020112120 is 212110201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1020112097 and 1020112106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020112127) 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, 112807 + ... + 121513.

Almost surely, 2^1020112120 is an apocalyptic number.

1020112120 is a gapful number since it is divisible by the number (10) 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 1020112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199091600).

1020112120 is an abundant number, since it is smaller than the sum of its proper divisors (1378071080).

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

1020112120 is a wasteful number, since it uses less digits than its factorization.

1020112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8848 (or 8844 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1020112120 is about 31939.1941037967. The cubic root of 1020112120 is about 1006.6595913912.

Adding to 1020112120 its reverse (212110201), we get a palindrome (1232222321).

The spelling of 1020112120 in words is "one billion, twenty million, one hundred twelve thousand, one hundred twenty".