12333212400 has 120 divisors (see below), whose sum is σ = 39532295664. Its totient is φ = 3286784000.

The previous prime is 12333212363. The next prime is 12333212431. The reversal of 12333212400 is 421233321.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3330550 + ... + 3334250.

Almost surely, 2^12333212400 is an apocalyptic number.

12333212400 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 12333212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19766147832).

12333212400 is an abundant number, since it is smaller than the sum of its proper divisors (27199083264).

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

12333212400 is a wasteful number, since it uses less digits than its factorization.

12333212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6499 (or 6488 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12333212400 its reverse (421233321), we get a palindrome (12754445721).

The spelling of 12333212400 in words is "twelve billion, three hundred thirty-three million, two hundred twelve thousand, four hundred".