12238221600 has 216 divisors, whose sum is σ = 47078518032. Its totient is φ = 2966822400.

The previous prime is 12238221577. The next prime is 12238221607. The reversal of 12238221600 is 612283221.

12238221600 is a `hidden beast` number, since 1 + 2 + 2 + 38 + 2 + 21 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (12238221607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1939 + ... + 156461.

It is an arithmetic number, because the mean of its divisors is an integer number (217956102).

Almost surely, 2^12238221600 is an apocalyptic number.

12238221600 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 12238221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23539259016).

12238221600 is an abundant number, since it is smaller than the sum of its proper divisors (34840296432).

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

12238221600 is a wasteful number, since it uses less digits than its factorization.

12238221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154560 (or 154544 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12238221600 in words is "twelve billion, two hundred thirty-eight million, two hundred twenty-one thousand, six hundred".