1213604460120 has 192 divisors, whose sum is σ = 3943724371200. Its totient is φ = 298634519040.

The previous prime is 1213604459989. The next prime is 1213604460161. The reversal of 1213604460120 is 210644063121.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 75413275 + ... + 75429365.

It is an arithmetic number, because the mean of its divisors is an integer number (20540231100).

Almost surely, 2^{1213604460120} is an apocalyptic number.

1213604460120 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 1213604460120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971862185600).

1213604460120 is an abundant number, since it is smaller than the sum of its proper divisors (2730119911080).

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

1213604460120 is a wasteful number, since it uses less digits than its factorization.

1213604460120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19850 (or 19833 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 1213604460120 in words is "one trillion, two hundred thirteen billion, six hundred four million, four hundred sixty thousand, one hundred twenty".