1321379712000 has 1056 divisors, whose sum is σ = 4967232251904. Its totient is φ = 337416192000.

The previous prime is 1321379711963. The next prime is 1321379712013. The reversal of 1321379712000 is 2179731231.

It is a happy number.

1321379712000 is a `hidden beast` number, since 13 + 2 + 1 + 379 + 71 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5821055887 + ... + 5821056113.

Almost surely, 2^{1321379712000} is an apocalyptic number.

1321379712000 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 1321379712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483616125952).

1321379712000 is an abundant number, since it is smaller than the sum of its proper divisors (3645852539904).

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

1321379712000 is a wasteful number, since it uses less digits than its factorization.

1321379712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 1321379712000 in words is "one trillion, three hundred twenty-one billion, three hundred seventy-nine million, seven hundred twelve thousand".