12122284800 has 216 divisors, whose sum is σ = 40939226944. Its totient is φ = 3157217280.

The previous prime is 12122284793. The next prime is 12122284807. The reversal of 12122284800 is 848222121.

It is an interprime number because it is at equal distance from previous prime (12122284793) and next prime (12122284807).

It is a super-2 number, since 2×12122284800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12122284807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 818259 + ... + 832941.

Almost surely, 2^12122284800 is an apocalyptic number.

12122284800 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 12122284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20469613472).

12122284800 is an abundant number, since it is smaller than the sum of its proper divisors (28816942144).

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

12122284800 is a wasteful number, since it uses less digits than its factorization.

12122284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14755 (or 14736 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 12122284800 in words is "twelve billion, one hundred twenty-two million, two hundred eighty-four thousand, eight hundred".