33312220032 has 192 divisors, whose sum is σ = 109505208960. Its totient is φ = 8785520640.

The previous prime is 33312219979. The next prime is 33312220057. The reversal of 33312220032 is 23002221333.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×33312220032² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 33312219990 and 33312220008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417607 + ... + 490937.

It is an arithmetic number, because the mean of its divisors is an integer number (570339630).

Almost surely, 2^33312220032 is an apocalyptic number.

33312220032 is a gapful number since it is divisible by the number (32) 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 33312220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54752604480).

33312220032 is an abundant number, since it is smaller than the sum of its proper divisors (76192988928).

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

33312220032 is a wasteful number, since it uses less digits than its factorization.

33312220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73381 (or 73356 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 33312220032 its reverse (23002221333), we get a palindrome (56314441365).

The spelling of 33312220032 in words is "thirty-three billion, three hundred twelve million, two hundred twenty thousand, thirty-two".