32121162210480 has 640 divisors, whose sum is σ = 119731430983680. Its totient is φ = 6968132075520.

The previous prime is 32121162210413. The next prime is 32121162210539. The reversal of 32121162210480 is 8401226112123.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7064251567 + ... + 7064256113.

It is an arithmetic number, because the mean of its divisors is an integer number (187080360912).

Almost surely, 2^{32121162210480} is an apocalyptic number.

32121162210480 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 32121162210480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59865715491840).

32121162210480 is an abundant number, since it is smaller than the sum of its proper divisors (87610268773200).

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

32121162210480 is a wasteful number, since it uses less digits than its factorization.

32121162210480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7037 (or 7031 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 32121162210480 in words is "thirty-two trillion, one hundred twenty-one billion, one hundred sixty-two million, two hundred ten thousand, four hundred eighty".