1267725312 has 264 divisors, whose sum is σ = 4290118976. Its totient is φ = 353009664.

The previous prime is 1267725307. The next prime is 1267725337. The reversal of 1267725312 is 2135277621.

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 23 ways as a sum of consecutive naturals, for example, 2773788 + ... + 2774244.

Almost surely, 2^1267725312 is an apocalyptic number.

1267725312 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 1267725312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145059488).

1267725312 is an abundant number, since it is smaller than the sum of its proper divisors (3022393664).

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

1267725312 is a wasteful number, since it uses less digits than its factorization.

1267725312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 512 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 1267725312 is about 35605.1304168374. The cubic root of 1267725312 is about 1082.2852024177.

The spelling of 1267725312 in words is "one billion, two hundred sixty-seven million, seven hundred twenty-five thousand, three hundred twelve".