1271122400 has 36 divisors (see below), whose sum is σ = 3103129512. Its totient is φ = 508448640.

The previous prime is 1271122361. The next prime is 1271122409. The reversal of 1271122400 is 42211721.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271122409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 793652 + ... + 795251.

It is an arithmetic number, because the mean of its divisors is an integer number (86198042).

Almost surely, 2^1271122400 is an apocalyptic number.

1271122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1271122400 is an abundant number, since it is smaller than the sum of its proper divisors (1832007112).

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

1271122400 is a wasteful number, since it uses less digits than its factorization.

1271122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588923 (or 1588910 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 1271122400 is about 35652.8035363280. The cubic root of 1271122400 is about 1083.2510633119.

The spelling of 1271122400 in words is "one billion, two hundred seventy-one million, one hundred twenty-two thousand, four hundred".