12333230896900 has 81 divisors (see below), whose sum is σ = 27979148877631. Its totient is φ = 4718492342080.

The previous prime is 12333230896859. The next prime is 12333230896907. The reversal of 12333230896900 is 969803233321.

The square root of 12333230896900 is 3511870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 438347278084 + 11894883618816 = 662078^2 + 3448896^2 .

It is a super-2 number, since 2×12333230896900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12333230896907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 807722466 + ... + 807737734.

Almost surely, 2^{12333230896900} is an apocalyptic number.

12333230896900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12333230896900 is the 3511870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12333230896900

12333230896900 is an abundant number, since it is smaller than the sum of its proper divisors (15645917980731).

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

12333230896900 is an frugal number, since it uses more digits than its factorization.

12333230896900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30598 (or 15299 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 49.

Multiplying 12333230896900 by its sum of digits (49), we get a square (604328313948100 = 24583090²).

The spelling of 12333230896900 in words is "twelve trillion, three hundred thirty-three billion, two hundred thirty million, eight hundred ninety-six thousand, nine hundred".