1210107782256 has 160 divisors (see below), whose sum is σ = 3209754330432. Its totient is φ = 392731975680.

The previous prime is 1210107782243. The next prime is 1210107782281. The reversal of 1210107782256 is 6522877010121.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118019626 + ... + 118029878.

Almost surely, 2^{1210107782256} is an apocalyptic number.

1210107782256 is a gapful number since it is divisible by the number (16) 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 1210107782256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604877165216).

1210107782256 is an abundant number, since it is smaller than the sum of its proper divisors (1999646548176).

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

1210107782256 is a wasteful number, since it uses less digits than its factorization.

1210107782256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10731 (or 10725 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 1210107782256 in words is "one trillion, two hundred ten billion, one hundred seven million, seven hundred eighty-two thousand, two hundred fifty-six".