32212133280 has 144 divisors (see below), whose sum is σ = 110352892104. Its totient is φ = 8556380160.

The previous prime is 32212133251. The next prime is 32212133281. The reversal of 32212133280 is 8233121223.

It is a happy number.

32212133280 is a `hidden beast` number, since 322 + 1 + 2 + 1 + 332 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30305239056 + 1906894224 = 174084^2 + 43668^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (32212133281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326560 + ... + 413600.

Almost surely, 2^32212133280 is an apocalyptic number.

32212133280 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 32212133280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55176446052).

32212133280 is an abundant number, since it is smaller than the sum of its proper divisors (78140758824).

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

32212133280 is a wasteful number, since it uses less digits than its factorization.

32212133280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87319 (or 87308 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 32212133280 in words is "thirty-two billion, two hundred twelve million, one hundred thirty-three thousand, two hundred eighty".