1102261773312 has 264 divisors, whose sum is σ = 3641003026752. Its totient is φ = 314623180800.

The previous prime is 1102261773253. The next prime is 1102261773323. The reversal of 1102261773312 is 2133771622011.

1102261773312 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 2 + 617 + 7 + 3 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70374762 + ... + 70390422.

Almost surely, 2^{1102261773312} is an apocalyptic number.

1102261773312 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 1102261773312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820501513376).

1102261773312 is an abundant number, since it is smaller than the sum of its proper divisors (2538741253440).

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

1102261773312 is a wasteful number, since it uses less digits than its factorization.

1102261773312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16785 (or 16764 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 1102261773312 in words is "one trillion, one hundred two billion, two hundred sixty-one million, seven hundred seventy-three thousand, three hundred twelve".