1267912800 has 432 divisors, whose sum is σ = 5576643072. Its totient is φ = 263347200.

The previous prime is 1267912787. The next prime is 1267912801. The reversal of 1267912800 is 82197621.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1267912801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 553257 + ... + 555543.

It is an arithmetic number, because the mean of its divisors is an integer number (12908896).

Almost surely, 2^1267912800 is an apocalyptic number.

1267912800 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 1267912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788321536).

1267912800 is an abundant number, since it is smaller than the sum of its proper divisors (4308730272).

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

1267912800 is a wasteful number, since it uses less digits than its factorization.

1267912800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1267912800 is about 35607.7631984937. The cubic root of 1267912800 is about 1082.3385540083.

The spelling of 1267912800 in words is "one billion, two hundred sixty-seven million, nine hundred twelve thousand, eight hundred".