12133004310 has 128 divisors (see below), whose sum is σ = 37583308800. Its totient is φ = 2727768960.

The previous prime is 12133004209. The next prime is 12133004327. The reversal of 12133004310 is 1340033121.

12133004310 is a `hidden beast` number, since 1 + 21 + 330 + 0 + 4 + 310 = 666.

It is a super-2 number, since 2×12133004310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62671 + ... + 167909.

It is an arithmetic number, because the mean of its divisors is an integer number (293619600).

Almost surely, 2^12133004310 is an apocalyptic number.

12133004310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133004310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18791654400).

12133004310 is an abundant number, since it is smaller than the sum of its proper divisors (25450304490).

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

12133004310 is a wasteful number, since it uses less digits than its factorization.

12133004310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105323 (or 105317 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12133004310 its reverse (1340033121), we get a palindrome (13473037431).

The spelling of 12133004310 in words is "twelve billion, one hundred thirty-three million, four thousand, three hundred ten".