32133012120 has 256 divisors, whose sum is σ = 118164096000. Its totient is φ = 7702041600.

The previous prime is 32133012103. The next prime is 32133012143. The reversal of 32133012120 is 2121033123.

32133012120 is a `hidden beast` number, since 321 + 3 + 301 + 21 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32133012093 and 32133012102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1042125 + ... + 1072515.

It is an arithmetic number, because the mean of its divisors is an integer number (461578500).

Almost surely, 2^32133012120 is an apocalyptic number.

32133012120 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 32133012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59082048000).

32133012120 is an abundant number, since it is smaller than the sum of its proper divisors (86031083880).

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

32133012120 is a wasteful number, since it uses less digits than its factorization.

32133012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30511 (or 30501 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32133012120 its reverse (2121033123), we get a palindrome (34254045243).

The spelling of 32133012120 in words is "thirty-two billion, one hundred thirty-three million, twelve thousand, one hundred twenty".