1210832781312 has 864 divisors, whose sum is σ = 4260306093120. Its totient is φ = 302115717120.

The previous prime is 1210832781293. The next prime is 1210832781331. The reversal of 1210832781312 is 2131872380121.

It is an interprime number because it is at equal distance from previous prime (1210832781293) and next prime (1210832781331).

It is a super-2 number, since 2×1210832781312² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6146359198 + ... + 6146359394.

It is an arithmetic number, because the mean of its divisors is an integer number (4930909830).

Almost surely, 2^{1210832781312} is an apocalyptic number.

1210832781312 is a gapful number since it is divisible by the number (12) 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 1210832781312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130153046560).

1210832781312 is an abundant number, since it is smaller than the sum of its proper divisors (3049473311808).

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

1210832781312 is an equidigital number, since it uses as much as digits as its factorization.

1210832781312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 1210832781312 in words is "one trillion, two hundred ten billion, eight hundred thirty-two million, seven hundred eighty-one thousand, three hundred twelve".