12213121440 has 384 divisors, whose sum is σ = 44259747840. Its totient is φ = 2807304192.

The previous prime is 12213121439. The next prime is 12213121447. The reversal of 12213121440 is 4412131221.

It is not an unprimeable number, because it can be changed into a prime (12213121447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6170371 + ... + 6172349.

It is an arithmetic number, because the mean of its divisors is an integer number (115259760).

Almost surely, 2^12213121440 is an apocalyptic number.

12213121440 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 12213121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22129873920).

12213121440 is an abundant number, since it is smaller than the sum of its proper divisors (32046626400).

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

12213121440 is a wasteful number, since it uses less digits than its factorization.

12213121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12213121440 its reverse (4412131221), we get a palindrome (16625252661).

The spelling of 12213121440 in words is "twelve billion, two hundred thirteen million, one hundred twenty-one thousand, four hundred forty".