32212254720 has 128 divisors (see below), whose sum is σ = 103079215080. Its totient is φ = 8589934592.

The previous prime is 32212254719. The next prime is 32212254749. The reversal of 32212254720 is 2745221223.

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)²⁸.

It is a tau number, because it is divible by the number of its divisors (128).

It is an ABA number since it can be written as A⋅B^A, here for A=30, B=2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 32212254720 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6442450942 + ... + 6442450946.

Almost surely, 2^32212254720 is an apocalyptic number.

32212254720 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 32212254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51539607540).

32212254720 is an abundant number, since it is smaller than the sum of its proper divisors (70866960360).

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

32212254720 is an frugal number, since it uses more digits than its factorization.

32212254720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

Multiplying 32212254720 by its sum of digits (30), we get a square (966367641600 = 983040²).

32212254720 divided by its sum of digits (30) gives a 30-th power (1073741824 = 2³⁰).

Adding to 32212254720 its reverse (2745221223), we get a palindrome (34957475943).

The spelling of 32212254720 in words is "thirty-two billion, two hundred twelve million, two hundred fifty-four thousand, seven hundred twenty".