12033013100 has 72 divisors (see below), whose sum is σ = 27772472448. Its totient is φ = 4509619200.

The previous prime is 12033013081. The next prime is 12033013129. The reversal of 12033013100 is 131033021.

It is a super-2 number, since 2×12033013100² (a number of 21 digits) contains 22 as substring.

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, 363230 + ... + 394970.

It is an arithmetic number, because the mean of its divisors is an integer number (385728784).

Almost surely, 2^12033013100 is an apocalyptic number.

12033013100 is a gapful number since it is divisible by the number (10) 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 12033013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13886236224).

12033013100 is an abundant number, since it is smaller than the sum of its proper divisors (15739459348).

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

12033013100 is a wasteful number, since it uses less digits than its factorization.

12033013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31995 (or 31988 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 12033013100 its reverse (131033021), we get a palindrome (12164046121).

The spelling of 12033013100 in words is "twelve billion, thirty-three million, thirteen thousand, one hundred".