1102868337312 has 384 divisors, whose sum is σ = 3780919296000. Its totient is φ = 312613426944.

The previous prime is 1102868337223. The next prime is 1102868337341. The reversal of 1102868337312 is 2137338682011.

1102868337312 is a `hidden beast` number, since 1 + 1 + 0 + 286 + 8 + 337 + 31 + 2 = 666.

It is a super-2 number, since 2×1102868337312² (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 63 ways as a sum of consecutive naturals, for example, 37622053 + ... + 37651355.

It is an arithmetic number, because the mean of its divisors is an integer number (9846144000).

Almost surely, 2^{1102868337312} is an apocalyptic number.

1102868337312 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 1102868337312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890459648000).

1102868337312 is an abundant number, since it is smaller than the sum of its proper divisors (2678050958688).

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

1102868337312 is a wasteful number, since it uses less digits than its factorization.

1102868337312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29470 (or 29442 counting only the distinct ones).

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

The spelling of 1102868337312 in words is "one trillion, one hundred two billion, eight hundred sixty-eight million, three hundred thirty-seven thousand, three hundred twelve".