1213142413120 has 224 divisors, whose sum is σ = 3166150965120. Its totient is φ = 439085629440.

The previous prime is 1213142413117. The next prime is 1213142413163. The reversal of 1213142413120 is 213142413121.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 935344312 + ... + 935345608.

Almost surely, 2^{1213142413120} is an apocalyptic number.

1213142413120 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 1213142413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583075482560).

1213142413120 is an abundant number, since it is smaller than the sum of its proper divisors (1953008552000).

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

1213142413120 is a wasteful number, since it uses less digits than its factorization.

1213142413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1213142413120 its reverse (213142413121), we get a palindrome (1426284826241).

Subtracting from 1213142413120 its reverse (213142413121), we obtain a palindrome (999999999999).

The spelling of 1213142413120 in words is "one trillion, two hundred thirteen billion, one hundred forty-two million, four hundred thirteen thousand, one hundred twenty".