32213020200000 has 672 divisors, whose sum is σ = 110366731077120. Its totient is φ = 8281728000000.

The previous prime is 32213020199947. The next prime is 32213020200013. The reversal of 32213020200000 is 202031223.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22637399289 + ... + 22637400711.

It is an arithmetic number, because the mean of its divisors is an integer number (164236206960).

Almost surely, 2^{32213020200000} is an apocalyptic number.

32213020200000 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 32213020200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55183365538560).

32213020200000 is an abundant number, since it is smaller than the sum of its proper divisors (78153710877120).

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

32213020200000 is a wasteful number, since it uses less digits than its factorization.

32213020200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 32213020200000 its reverse (202031223), we get a palindrome (32213222231223).

The spelling of 32213020200000 in words is "thirty-two trillion, two hundred thirteen billion, twenty million, two hundred thousand".