1321251254496 has 144 divisors (see below), whose sum is σ = 3903063267600. Its totient is φ = 434840410368.

The previous prime is 1321251254447. The next prime is 1321251254501. The reversal of 1321251254496 is 6944521521231.

1321251254496 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 5 + 12 + 544 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5269710 + ... + 5514738.

It is an arithmetic number, because the mean of its divisors is an integer number (27104606025).

Almost surely, 2^{1321251254496} is an apocalyptic number.

1321251254496 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 1321251254496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951531633800).

1321251254496 is an abundant number, since it is smaller than the sum of its proper divisors (2581812013104).

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

1321251254496 is an equidigital number, since it uses as much as digits as its factorization.

1321251254496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245206 (or 245113 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 1321251254496 in words is "one trillion, three hundred twenty-one billion, two hundred fifty-one million, two hundred fifty-four thousand, four hundred ninety-six".