1322751347712 has 792 divisors, whose sum is σ = 4177169118720. Its totient is φ = 418246778880.

The previous prime is 1322751347699. The next prime is 1322751347717. The reversal of 1322751347712 is 2177431572231.

1322751347712 is a `hidden beast` number, since 1 + 3 + 2 + 27 + 513 + 47 + 71 + 2 = 666.

It is a super-2 number, since 2×1322751347712² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1322751347717) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18630300637 + ... + 18630300707.

Almost surely, 2^{1322751347712} is an apocalyptic number.

1322751347712 is a gapful number since it is divisible by the number (12) 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 1322751347712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088584559360).

1322751347712 is an abundant number, since it is smaller than the sum of its proper divisors (2854417771008).

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

1322751347712 is an frugal number, since it uses more digits than its factorization.

1322751347712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 182 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The spelling of 1322751347712 in words is "one trillion, three hundred twenty-two billion, seven hundred fifty-one million, three hundred forty-seven thousand, seven hundred twelve".