1272852000 has 288 divisors, whose sum is σ = 5163709824. Its totient is φ = 290880000.

The previous prime is 1272851981. The next prime is 1272852023. The reversal of 1272852000 is 2582721.

It is a tau number, because it is divible by the number of its divisors (288).

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, 249475 + ... + 254525.

It is an arithmetic number, because the mean of its divisors is an integer number (17929548).

Almost surely, 2^1272852000 is an apocalyptic number.

1272852000 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 1272852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581854912).

1272852000 is an abundant number, since it is smaller than the sum of its proper divisors (3890857824).

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

1272852000 is a wasteful number, since it uses less digits than its factorization.

1272852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5089 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1272852000 is about 35677.0514476743. The cubic root of 1272852000 is about 1083.7421625930.

The spelling of 1272852000 in words is "one billion, two hundred seventy-two million, eight hundred fifty-two thousand".