12214540800 has 1680 divisors, whose sum is σ = 59896469952. Its totient is φ = 2388787200.

The previous prime is 12214540799. The next prime is 12214540801. The reversal of 12214540800 is 804541221.

It is an interprime number because it is at equal distance from previous prime (12214540799) and next prime (12214540801).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12214540801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 718502392 + ... + 718502408.

Almost surely, 2^12214540800 is an apocalyptic number.

12214540800 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 12214540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29948234976).

12214540800 is an abundant number, since it is smaller than the sum of its proper divisors (47681929152).

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

12214540800 is an equidigital number, since it uses as much as digits as its factorization.

12214540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 12214540800 in words is "twelve billion, two hundred fourteen million, five hundred forty thousand, eight hundred".