1321817123088 has 320 divisors, whose sum is σ = 4731813335040. Its totient is φ = 343220198400.

The previous prime is 1321817123069. The next prime is 1321817123093. The reversal of 1321817123088 is 8803217181231.

1321817123088 is a `hidden beast` number, since 1 + 321 + 8 + 1 + 7 + 12 + 308 + 8 = 666.

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, 207797028 + ... + 207803388.

It is an arithmetic number, because the mean of its divisors is an integer number (14786916672).

Almost surely, 2^{1321817123088} is an apocalyptic number.

1321817123088 is a gapful number since it is divisible by the number (18) 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 1321817123088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365906667520).

1321817123088 is an abundant number, since it is smaller than the sum of its proper divisors (3409996211952).

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

1321817123088 is a wasteful number, since it uses less digits than its factorization.

1321817123088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12643 (or 12631 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 1321817123088 in words is "one trillion, three hundred twenty-one billion, eight hundred seventeen million, one hundred twenty-three thousand, eighty-eight".