33321012000 has 96 divisors (see below), whose sum is σ = 109159674624. Its totient is φ = 8885600000.

The previous prime is 33321011957. The next prime is 33321012001. The reversal of 33321012000 is 21012333.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33321012000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (33321012001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1376376 + ... + 1400375.

It is an arithmetic number, because the mean of its divisors is an integer number (1137079944).

Almost surely, 2^33321012000 is an apocalyptic number.

33321012000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33321012000 is an abundant number, since it is smaller than the sum of its proper divisors (75838662624).

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

33321012000 is a wasteful number, since it uses less digits than its factorization.

33321012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776779 (or 2776761 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 33321012000 its reverse (21012333), we get a palindrome (33342024333).

The spelling of 33321012000 in words is "thirty-three billion, three hundred twenty-one million, twelve thousand".