1264057312512 has 144 divisors (see below), whose sum is σ = 3381452809280. Its totient is φ = 419198976000.

The previous prime is 1264057312499. The next prime is 1264057312537. The reversal of 1264057312512 is 2152137504621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443371887 + ... + 443374737.

Almost surely, 2^{1264057312512} is an apocalyptic number.

1264057312512 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 1264057312512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690726404640).

1264057312512 is an abundant number, since it is smaller than the sum of its proper divisors (2117395496768).

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

1264057312512 is a wasteful number, since it uses less digits than its factorization.

1264057312512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5620 (or 5606 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 1264057312512 in words is "one trillion, two hundred sixty-four billion, fifty-seven million, three hundred twelve thousand, five hundred twelve".