1311465267200 has 672 divisors, whose sum is σ = 3721043266560. Its totient is φ = 454164480000.

The previous prime is 1311465267143. The next prime is 1311465267283. The reversal of 1311465267200 is 27625641131.

It is a super-2 number, since 2×1311465267200² (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 47 ways as a sum of consecutive naturals, for example, 6215475095 + ... + 6215475305.

Almost surely, 2^{1311465267200} is an apocalyptic number.

1311465267200 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 1311465267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860521633280).

1311465267200 is an abundant number, since it is smaller than the sum of its proper divisors (2409577999360).

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

1311465267200 is a wasteful number, since it uses less digits than its factorization.

1311465267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 1311465267200 in words is "one trillion, three hundred eleven billion, four hundred sixty-five million, two hundred sixty-seven thousand, two hundred".