1213128783360 has 1120 divisors, whose sum is σ = 4850970018048. Its totient is φ = 288804372480.

The previous prime is 1213128783247. The next prime is 1213128783431. The reversal of 1213128783360 is 633878213121.

1213128783360 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 1 + 287 + 8 + 3 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 752093914 + ... + 752095526.

Almost surely, 2^{1213128783360} is an apocalyptic number.

1213128783360 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 1213128783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425485009024).

1213128783360 is an abundant number, since it is smaller than the sum of its proper divisors (3637841234688).

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

1213128783360 is an equidigital number, since it uses as much as digits as its factorization.

1213128783360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1213128783360 in words is "one trillion, two hundred thirteen billion, one hundred twenty-eight million, seven hundred eighty-three thousand, three hundred sixty".