1212834424320 has 240 divisors, whose sum is σ = 4203308538000. Its totient is φ = 323197550592.

The previous prime is 1212834424313. The next prime is 1212834424337. The reversal of 1212834424320 is 234244382121.

1212834424320 is a `hidden beast` number, since 1 + 212 + 8 + 3 + 4 + 4 + 2 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 34519402 + ... + 34554518.

It is an arithmetic number, because the mean of its divisors is an integer number (17513785575).

Almost surely, 2^{1212834424320} is an apocalyptic number.

1212834424320 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 1212834424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101654269000).

1212834424320 is an abundant number, since it is smaller than the sum of its proper divisors (2990474113680).

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

1212834424320 is a wasteful number, since it uses less digits than its factorization.

1212834424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36645 (or 36626 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 1212834424320 in words is "one trillion, two hundred twelve billion, eight hundred thirty-four million, four hundred twenty-four thousand, three hundred twenty".