32201200020 has 144 divisors (see below), whose sum is σ = 99257768064. Its totient is φ = 7794336000.

The previous prime is 32201200007. The next prime is 32201200027. The reversal of 32201200020 is 2000210223.

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

It is a junction number, because it is equal to n+sod(n) for n = 32201199969 and 32201200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32201200027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5274970 + ... + 5281070.

It is an arithmetic number, because the mean of its divisors is an integer number (689290056).

Almost surely, 2^32201200020 is an apocalyptic number.

32201200020 is a gapful number since it is divisible by the number (30) 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 32201200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49628884032).

32201200020 is an abundant number, since it is smaller than the sum of its proper divisors (67056568044).

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

32201200020 is a wasteful number, since it uses less digits than its factorization.

32201200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862 (or 6849 counting only the distinct ones).

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

Adding to 32201200020 its reverse (2000210223), we get a palindrome (34201410243).

It can be divided in two parts, 32201 and 200020, that added together give a triangular number (232221 = T₆₈₁).

The spelling of 32201200020 in words is "thirty-two billion, two hundred one million, two hundred thousand, twenty".