33201002112 has 32 divisors (see below), whose sum is σ = 88190162880. Its totient is φ = 11067000576.

The previous prime is 33201002047. The next prime is 33201002117. The reversal of 33201002112 is 21120010233.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×33201002112² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33201002091 and 33201002100.

It is not an unprimeable number, because it can be changed into a prime (33201002117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43230088 + ... + 43230855.

It is an arithmetic number, because the mean of its divisors is an integer number (2755942590).

Almost surely, 2^33201002112 is an apocalyptic number.

33201002112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33201002112 is an abundant number, since it is smaller than the sum of its proper divisors (54989160768).

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

33201002112 is an equidigital number, since it uses as much as digits as its factorization.

33201002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86460960 (or 86460948 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 33201002112 its reverse (21120010233), we get a palindrome (54321012345).

The spelling of 33201002112 in words is "thirty-three billion, two hundred one million, two thousand, one hundred twelve".