1022112022032 has 160 divisors (see below), whose sum is σ = 3008662968960. Its totient is φ = 332049715200.

The previous prime is 1022112022027. The next prime is 1022112022037. The reversal of 1022112022032 is 2302202112201.

It is an interprime number because it is at equal distance from previous prime (1022112022027) and next prime (1022112022037).

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 = 1022112021996 and 1022112022014.

It is not an unprimeable number, because it can be changed into a prime (1022112022037) 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, 8429032 + ... + 8549432.

It is an arithmetic number, because the mean of its divisors is an integer number (18804143556).

Almost surely, 2^{1022112022032} is an apocalyptic number.

1022112022032 is a gapful number since it is divisible by the number (12) 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 1022112022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504331484480).

1022112022032 is an abundant number, since it is smaller than the sum of its proper divisors (1986550946928).

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

1022112022032 is a wasteful number, since it uses less digits than its factorization.

1022112022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120918 (or 120906 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1022112022032 its reverse (2302202112201), we get a palindrome (3324314134233).

The spelling of 1022112022032 in words is "one trillion, twenty-two billion, one hundred twelve million, twenty-two thousand, thirty-two".