32213301120 has 1536 divisors, whose sum is σ = 154404956160. Its totient is φ = 5971968000.

The previous prime is 32213301089. The next prime is 32213301143. The reversal of 32213301120 is 2110331223.

32213301120 is a `hidden beast` number, since 3 + 221 + 330 + 112 + 0 = 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 = 32213301093 and 32213301102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 213333045 + ... + 213333195.

It is an arithmetic number, because the mean of its divisors is an integer number (100524060).

Almost surely, 2^32213301120 is an apocalyptic number.

32213301120 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 32213301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77202478080).

32213301120 is an abundant number, since it is smaller than the sum of its proper divisors (122191655040).

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

32213301120 is a wasteful number, since it uses less digits than its factorization.

32213301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 229 counting only the distinct ones).

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

Adding to 32213301120 its reverse (2110331223), we get a palindrome (34323632343).

It can be divided in two parts, 32213 and 301120, that added together give a palindrome (333333).

The spelling of 32213301120 in words is "thirty-two billion, two hundred thirteen million, three hundred one thousand, one hundred twenty".