1022112000 has 864 divisors, whose sum is σ = 4668168960. Its totient is φ = 215654400.

The previous prime is 1022111999. The next prime is 1022112023. The reversal of 1022112000 is 2112201.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78623994 + ... + 78624006.

Almost surely, 2^1022112000 is an apocalyptic number.

1022112000 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 1022112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334084480).

1022112000 is an abundant number, since it is smaller than the sum of its proper divisors (3646056960).

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

1022112000 is an equidigital number, since it uses as much as digits as its factorization.

1022112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1022112000 is about 31970.4863897939. The cubic root of 1022112000 is about 1007.3169976321.

Adding to 1022112000 its reverse (2112201), we get a palindrome (1024224201).

The spelling of 1022112000 in words is "one billion, twenty-two million, one hundred twelve thousand".