1297077315072 has 960 divisors, whose sum is σ = 4639503052800. Its totient is φ = 314508902400.

The previous prime is 1297077315049. The next prime is 1297077315097. The reversal of 1297077315072 is 2705137707921.

It is a super-2 number, since 2×1297077315072² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 1169591254 + ... + 1169592362.

It is an arithmetic number, because the mean of its divisors is an integer number (4832815680).

Almost surely, 2^{1297077315072} is an apocalyptic number.

1297077315072 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 1297077315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319751526400).

1297077315072 is an abundant number, since it is smaller than the sum of its proper divisors (3342425737728).

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

1297077315072 is a wasteful number, since it uses less digits than its factorization.

1297077315072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 1296540, while the sum is 51.

The spelling of 1297077315072 in words is "one trillion, two hundred ninety-seven billion, seventy-seven million, three hundred fifteen thousand, seventy-two".