12135633060 has 96 divisors (see below), whose sum is σ = 35552240640. Its totient is φ = 3087165312.

The previous prime is 12135633049. The next prime is 12135633109. The reversal of 12135633060 is 6033653121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511419 + ... + 534621.

It is an arithmetic number, because the mean of its divisors is an integer number (370335840).

Almost surely, 2^12135633060 is an apocalyptic number.

12135633060 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 12135633060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17776120320).

12135633060 is an abundant number, since it is smaller than the sum of its proper divisors (23416607580).

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

12135633060 is a wasteful number, since it uses less digits than its factorization.

12135633060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23617 (or 23615 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The spelling of 12135633060 in words is "twelve billion, one hundred thirty-five million, six hundred thirty-three thousand, sixty".