12302133000 has 256 divisors, whose sum is σ = 39896064000. Its totient is φ = 3152736000.

The previous prime is 12302132993. The next prime is 12302133013. The reversal of 12302133000 is 33120321.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 16646631 + ... + 16647369.

It is an arithmetic number, because the mean of its divisors is an integer number (155844000).

Almost surely, 2^12302133000 is an apocalyptic number.

12302133000 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 12302133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19948032000).

12302133000 is an abundant number, since it is smaller than the sum of its proper divisors (27593931000).

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

12302133000 is a wasteful number, since it uses less digits than its factorization.

12302133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12302133000 its reverse (33120321), we get a palindrome (12335253321).

The spelling of 12302133000 in words is "twelve billion, three hundred two million, one hundred thirty-three thousand".