1022012000 has 48 divisors (see below), whose sum is σ = 2511093312. Its totient is φ = 408803200.

The previous prime is 1022011973. The next prime is 1022012021. The reversal of 1022012000 is 2102201.

1022012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123752 + ... + 131751.

It is an arithmetic number, because the mean of its divisors is an integer number (52314444).

Almost surely, 2^1022012000 is an apocalyptic number.

1022012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022012000 is an abundant number, since it is smaller than the sum of its proper divisors (1489081312).

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

1022012000 is an equidigital number, since it uses as much as digits as its factorization.

1022012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255528 (or 255510 counting only the distinct ones).

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

The square root of 1022012000 is about 31968.9224091148. The cubic root of 1022012000 is about 1007.2841457251.

Adding to 1022012000 its reverse (2102201), we get a palindrome (1024114201).

It can be divided in two parts, 102 and 2012000, that added together give a palindrome (2012102).

The spelling of 1022012000 in words is "one billion, twenty-two million, twelve thousand".