12302100133000 has 128 divisors (see below), whose sum is σ = 30496580131680. Its totient is φ = 4628899430400.

The previous prime is 12302100132967. The next prime is 12302100133003. The reversal of 12302100133000 is 33100120321.

It can be written as a sum of positive squares in 16 ways, for example, as 230325126084 + 12071775006916 = 479922^2 + 3474446^2 .

It is not an unprimeable number, because it can be changed into a prime (12302100133003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31716232 + ... + 32101768.

Almost surely, 2^{12302100133000} is an apocalyptic number.

12302100133000 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 12302100133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15248290065840).

12302100133000 is an abundant number, since it is smaller than the sum of its proper divisors (18194479998680).

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

12302100133000 is a wasteful number, since it uses less digits than its factorization.

12302100133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387452 (or 387438 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12302100133000 its reverse (33100120321), we get a palindrome (12335200253321).

The spelling of 12302100133000 in words is "twelve trillion, three hundred two billion, one hundred million, one hundred thirty-three thousand".