2022012000 has 144 divisors (see below), whose sum is σ = 7176248352. Its totient is φ = 539193600.

The previous prime is 2022011947. The next prime is 2022012023. The reversal of 2022012000 is 2102202.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7917 + ... + 64083.

It is an arithmetic number, because the mean of its divisors is an integer number (49835058).

Almost surely, 2^2022012000 is an apocalyptic number.

2022012000 is a gapful number since it is divisible by the number (20) 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 2022012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588124176).

2022012000 is an abundant number, since it is smaller than the sum of its proper divisors (5154236352).

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

2022012000 is a wasteful number, since it uses less digits than its factorization.

2022012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56198 (or 56177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2022012000 is about 44966.7877438449. The cubic root of 2022012000 is about 1264.5264257613.

Adding to 2022012000 its reverse (2102202), we get a palindrome (2024114202).

The spelling of 2022012000 in words is "two billion, twenty-two million, twelve thousand".