1213120431440 has 80 divisors (see below), whose sum is σ = 2969242902720. Its totient is φ = 459663851520.

The previous prime is 1213120431437. The next prime is 1213120431449. The reversal of 1213120431440 is 441340213121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1213120431440² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213120431449) 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 15 ways as a sum of consecutive naturals, for example, 18369680 + ... + 18435600.

It is an arithmetic number, because the mean of its divisors is an integer number (37115536284).

Almost surely, 2^{1213120431440} is an apocalyptic number.

1213120431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1213120431440 is an abundant number, since it is smaller than the sum of its proper divisors (1756122471280).

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

1213120431440 is a wasteful number, since it uses less digits than its factorization.

1213120431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78060 (or 78054 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 1213120431440 its reverse (441340213121), we get a palindrome (1654460644561).

The spelling of 1213120431440 in words is "one trillion, two hundred thirteen billion, one hundred twenty million, four hundred thirty-one thousand, four hundred forty".