20122022232000 has 672 divisors, whose sum is σ = 77557298442624. Its totient is φ = 4950521856000.

The previous prime is 20122022231963. The next prime is 20122022232017. The reversal of 20122022232000 is 23222022102.

20122022232000 is a `hidden beast` number, since 2 + 0 + 122 + 0 + 222 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2284771597 + ... + 2284780403.

It is an arithmetic number, because the mean of its divisors is an integer number (115412646492).

Almost surely, 2^{20122022232000} is an apocalyptic number.

20122022232000 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 20122022232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38778649221312).

20122022232000 is an abundant number, since it is smaller than the sum of its proper divisors (57435276210624).

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

20122022232000 is a wasteful number, since it uses less digits than its factorization.

20122022232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11294 (or 11271 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20122022232000 its reverse (23222022102), we get a palindrome (20145244254102).

The spelling of 20122022232000 in words is "twenty trillion, one hundred twenty-two billion, twenty-two million, two hundred thirty-two thousand".