1022013120 has 112 divisors (see below), whose sum is σ = 3314078208. Its totient is φ = 266726400.

The previous prime is 1022013101. The next prime is 1022013127. The reversal of 1022013120 is 213102201.

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 = 1022013096 and 1022013105.

It is not an unprimeable number, because it can be changed into a prime (1022013127) 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, 33795 + ... + 56445.

It is an arithmetic number, because the mean of its divisors is an integer number (29589984).

Almost surely, 2^1022013120 is an apocalyptic number.

1022013120 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 1022013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657039104).

1022013120 is an abundant number, since it is smaller than the sum of its proper divisors (2292065088).

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

1022013120 is a wasteful number, since it uses less digits than its factorization.

1022013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22718 (or 22708 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1022013120 is about 31968.9399261220. The cubic root of 1022013120 is about 1007.2845136783.

Adding to 1022013120 its reverse (213102201), we get a palindrome (1235115321).

The spelling of 1022013120 in words is "one billion, twenty-two million, thirteen thousand, one hundred twenty".