1312228270080 has 2688 divisors, whose sum is σ = 6216837350400. Its totient is φ = 256162922496.

The previous prime is 1312228270061. The next prime is 1312228270099. The reversal of 1312228270080 is 800728222131.

It is an interprime number because it is at equal distance from previous prime (1312228270061) and next prime (1312228270099).

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22241157091 + ... + 22241157149.

Almost surely, 2^{1312228270080} is an apocalyptic number.

1312228270080 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 1312228270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108418675200).

1312228270080 is an abundant number, since it is smaller than the sum of its proper divisors (4904609080320).

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

1312228270080 is a wasteful number, since it uses less digits than its factorization.

1312228270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1312228270080 in words is "one trillion, three hundred twelve billion, two hundred twenty-eight million, two hundred seventy thousand, eighty".