20200122000 has 240 divisors, whose sum is σ = 71523414768. Its totient is φ = 5312563200.

The previous prime is 20200121957. The next prime is 20200122017. The reversal of 20200122000 is 22100202.

It can be written as a sum of positive squares in 8 ways, for example, as 12425115024 + 7775006976 = 111468^2 + 88176^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 1306314 + ... + 1321686.

Almost surely, 2^20200122000 is an apocalyptic number.

20200122000 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 20200122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35761707384).

20200122000 is an abundant number, since it is smaller than the sum of its proper divisors (51323292768).

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

20200122000 is a wasteful number, since it uses less digits than its factorization.

20200122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15475 (or 15456 counting only the distinct ones).

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

Adding to 20200122000 its reverse (22100202), we get a palindrome (20222222202).

The spelling of 20200122000 in words is "twenty billion, two hundred million, one hundred twenty-two thousand".