1271300400 has 240 divisors, whose sum is σ = 4612338720. Its totient is φ = 332467200.

The previous prime is 1271300399. The next prime is 1271300447. The reversal of 1271300400 is 40031721.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 571290 + ... + 573510.

It is an arithmetic number, because the mean of its divisors is an integer number (19218078).

Almost surely, 2^1271300400 is an apocalyptic number.

1271300400 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 1271300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306169360).

1271300400 is an abundant number, since it is smaller than the sum of its proper divisors (3341038320).

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

1271300400 is a wasteful number, since it uses less digits than its factorization.

1271300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1271300400 is about 35655.2997463210. The cubic root of 1271300400 is about 1083.3016248444.

The spelling of 1271300400 in words is "one billion, two hundred seventy-one million, three hundred thousand, four hundred".