1321257401184 has 192 divisors, whose sum is σ = 4045695413760. Its totient is φ = 369725091840.

The previous prime is 1321257401083. The next prime is 1321257401207. The reversal of 1321257401184 is 4811047521231.

It is a super-2 number, since 2×1321257401184² (a number of 25 digits) contains 22 as substring.

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, 20304252 + ... + 20369220.

It is an arithmetic number, because the mean of its divisors is an integer number (21071330280).

Almost surely, 2^{1321257401184} is an apocalyptic number.

1321257401184 is a gapful number since it is divisible by the number (14) 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 1321257401184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022847706880).

1321257401184 is an abundant number, since it is smaller than the sum of its proper divisors (2724438012576).

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

1321257401184 is a wasteful number, since it uses less digits than its factorization.

1321257401184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65613 (or 65605 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 1321257401184 in words is "one trillion, three hundred twenty-one billion, two hundred fifty-seven million, four hundred one thousand, one hundred eighty-four".