33320001000000 has 1568 divisors, whose sum is σ = 130914686770560. Its totient is φ = 7372800000000.

The previous prime is 33320000999953. The next prime is 33320001000029. The reversal of 33320001000000 is 10002333.

It is a happy number.

It is a super-2 number, since 2×33320001000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 33320001000000.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 43328999616 + ... + 43329000384.

It is an arithmetic number, because the mean of its divisors is an integer number (83491509420).

Almost surely, 2^{33320001000000} is an apocalyptic number.

33320001000000 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 33320001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65457343385280).

33320001000000 is an abundant number, since it is smaller than the sum of its proper divisors (97594685770560).

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

33320001000000 is a wasteful number, since it uses less digits than its factorization.

33320001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 33320001000000 its reverse (10002333), we get a palindrome (33320011002333).

The spelling of 33320001000000 in words is "thirty-three trillion, three hundred twenty billion, one million", and thus it is an aban number.