20212032000 has 480 divisors, whose sum is σ = 70601731200. Its totient is φ = 5129625600.

The previous prime is 20212031989. The next prime is 20212032041. The reversal of 20212032000 is 23021202.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 101567901 + ... + 101568099.

It is an arithmetic number, because the mean of its divisors is an integer number (147086940).

Almost surely, 2^20212032000 is an apocalyptic number.

20212032000 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 20212032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35300865600).

20212032000 is an abundant number, since it is smaller than the sum of its proper divisors (50389699200).

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

20212032000 is an equidigital number, since it uses as much as digits as its factorization.

20212032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20212032000 its reverse (23021202), we get a palindrome (20235053202).

The spelling of 20212032000 in words is "twenty billion, two hundred twelve million, thirty-two thousand".