1323100610272 has 192 divisors, whose sum is σ = 3067700428800. Its totient is φ = 549939179520.

The previous prime is 1323100610243. The next prime is 1323100610297. The reversal of 1323100610272 is 2720160013231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1323100610272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1790392879 + ... + 1790393617.

It is an arithmetic number, because the mean of its divisors is an integer number (15977606400).

Almost surely, 2^{1323100610272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323100610272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533850214400).

1323100610272 is an abundant number, since it is smaller than the sum of its proper divisors (1744599818528).

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

1323100610272 is a wasteful number, since it uses less digits than its factorization.

1323100610272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The spelling of 1323100610272 in words is "one trillion, three hundred twenty-three billion, one hundred million, six hundred ten thousand, two hundred seventy-two".