1271952000 has 576 divisors, whose sum is σ = 5089691880. Its totient is φ = 304128000.

The previous prime is 1271951999. The next prime is 1271952001. The reversal of 1271952000 is 2591721.

1271952000 is a `hidden beast` number, since 127 + 19 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1271951999) and next prime (1271952001).

It can be written as a sum of positive squares in 4 ways, for example, as 413227584 + 858724416 = 20328^2 + 29304^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (1271952001) 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, 17423964 + ... + 17424036.

Almost surely, 2^1271952000 is an apocalyptic number.

1271952000 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 1271952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544845940).

1271952000 is an abundant number, since it is smaller than the sum of its proper divisors (3817739880).

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

1271952000 is a wasteful number, since it uses less digits than its factorization.

1271952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1271952000 is about 35664.4360673206. The cubic root of 1271952000 is about 1083.4866738894.

The spelling of 1271952000 in words is "one billion, two hundred seventy-one million, nine hundred fifty-two thousand".