12322202400 has 216 divisors, whose sum is σ = 44853629184. Its totient is φ = 3179865600.

The previous prime is 12322202383. The next prime is 12322202419. The reversal of 12322202400 is 420222321.

12322202400 is a `hidden beast` number, since 12 + 32 + 220 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 195597 + ... + 250803.

Almost surely, 2^12322202400 is an apocalyptic number.

12322202400 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 12322202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22426814592).

12322202400 is an abundant number, since it is smaller than the sum of its proper divisors (32531426784).

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

12322202400 is a wasteful number, since it uses less digits than its factorization.

12322202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55264 (or 55248 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12322202400 its reverse (420222321), we get a palindrome (12742424721).

The spelling of 12322202400 in words is "twelve billion, three hundred twenty-two million, two hundred two thousand, four hundred".