1002122817696 has 1152 divisors, whose sum is σ = 3908968906752. Its totient is φ = 235146240000.

The previous prime is 1002122817671. The next prime is 1002122817947. The reversal of 1002122817696 is 6967182212001.

1002122817696 is a `hidden beast` number, since 1 + 0 + 0 + 212 + 281 + 76 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3697870041 + ... + 3697870311.

It is an arithmetic number, because the mean of its divisors is an integer number (3393202176).

Almost surely, 2^{1002122817696} is an apocalyptic number.

1002122817696 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 1002122817696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954484453376).

1002122817696 is an abundant number, since it is smaller than the sum of its proper divisors (2906846089056).

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

1002122817696 is a wasteful number, since it uses less digits than its factorization.

1002122817696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1002122817696 in words is "one trillion, two billion, one hundred twenty-two million, eight hundred seventeen thousand, six hundred ninety-six".