1321251684480 has 2304 divisors, whose sum is σ = 6034571262720. Its totient is φ = 259183411200.

The previous prime is 1321251684463. The next prime is 1321251684497. The reversal of 1321251684480 is 844861521231.

1321251684480 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 5 + 168 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1321251684463) and next prime (1321251684497).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21659863650 + ... + 21659863710.

It is an arithmetic number, because the mean of its divisors is an integer number (2619171555).

Almost surely, 2^{1321251684480} is an apocalyptic number.

1321251684480 is a gapful number since it is divisible by the number (10) 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 1321251684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017285631360).

1321251684480 is an abundant number, since it is smaller than the sum of its proper divisors (4713319578240).

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

1321251684480 is a wasteful number, since it uses less digits than its factorization.

1321251684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1321251684480 in words is "one trillion, three hundred twenty-one billion, two hundred fifty-one million, six hundred eighty-four thousand, four hundred eighty".