20022012001000 has 128 divisors (see below), whose sum is σ = 47839999952160. Its totient is φ = 7841433600000.

The previous prime is 20022012000983. The next prime is 20022012001067. The reversal of 20022012001000 is 10021022002.

It can be written as a sum of positive squares in 16 ways, for example, as 5067874425636 + 14954137575364 = 2251194^2 + 3867058^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9000000 + ... + 11002000.

Almost surely, 2^{20022012001000} is an apocalyptic number.

20022012001000 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 20022012001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23919999976080).

20022012001000 is an abundant number, since it is smaller than the sum of its proper divisors (27817987951160).

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

20022012001000 is a wasteful number, since it uses less digits than its factorization.

20022012001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002232 (or 2002218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20022012001000 its reverse (10021022002), we get a palindrome (20032033023002).

The spelling of 20022012001000 in words is "twenty trillion, twenty-two billion, twelve million, one thousand".