32970201120 has 288 divisors, whose sum is σ = 117824982912. Its totient is φ = 8705636352.

The previous prime is 32970201113. The next prime is 32970201167. The reversal of 32970201120 is 2110207923.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4000524 + ... + 4008756.

It is an arithmetic number, because the mean of its divisors is an integer number (409114524).

Almost surely, 2^32970201120 is an apocalyptic number.

32970201120 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 32970201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58912491456).

32970201120 is an abundant number, since it is smaller than the sum of its proper divisors (84854781792).

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

32970201120 is a wasteful number, since it uses less digits than its factorization.

32970201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8366 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 32970201120 in words is "thirty-two billion, nine hundred seventy million, two hundred one thousand, one hundred twenty".