1212440395824 has 240 divisors, whose sum is σ = 3902967694080. Its totient is φ = 344177856000.

The previous prime is 1212440395781. The next prime is 1212440395853. The reversal of 1212440395824 is 4285930442121.

1212440395824 is a `hidden beast` number, since 1 + 2 + 1 + 24 + 40 + 3 + 9 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1212440395824.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 106004634 + ... + 106016070.

It is an arithmetic number, because the mean of its divisors is an integer number (16262365392).

Almost surely, 2^{1212440395824} is an apocalyptic number.

1212440395824 is a gapful number since it is divisible by the number (14) 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 1212440395824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951483847040).

1212440395824 is an abundant number, since it is smaller than the sum of its proper divisors (2690527298256).

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

1212440395824 is a wasteful number, since it uses less digits than its factorization.

1212440395824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12128 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1212440395824 in words is "one trillion, two hundred twelve billion, four hundred forty million, three hundred ninety-five thousand, eight hundred twenty-four".