1320102000096 has 192 divisors, whose sum is σ = 3932269286400. Its totient is φ = 384101222400.

The previous prime is 1320102000053. The next prime is 1320102000157. The reversal of 1320102000096 is 6900002010231.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5423865 + ... + 5662023.

It is an arithmetic number, because the mean of its divisors is an integer number (20480569200).

Almost surely, 2^{1320102000096} is an apocalyptic number.

1320102000096 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 1320102000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966134643200).

1320102000096 is an abundant number, since it is smaller than the sum of its proper divisors (2612167286304).

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

1320102000096 is a wasteful number, since it uses less digits than its factorization.

1320102000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238393 (or 238385 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 1320102000096 in words is "one trillion, three hundred twenty billion, one hundred two million, ninety-six", and thus it is an aban number.