1287871200 has 864 divisors, whose sum is σ = 5966618112. Its totient is φ = 253440000.

The previous prime is 1287871181. The next prime is 1287871229. The reversal of 1287871200 is 21787821.

It is a happy number.

It is a super-2 number, since 2×1287871200² = 3317224455578880000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12751150 + ... + 12751250.

It is an arithmetic number, because the mean of its divisors is an integer number (6905808).

Almost surely, 2^1287871200 is an apocalyptic number.

1287871200 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 1287871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983309056).

1287871200 is an abundant number, since it is smaller than the sum of its proper divisors (4678746912).

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

1287871200 is a wasteful number, since it uses less digits than its factorization.

1287871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 1287871200 is about 35886.9224091451. The cubic root of 1287871200 is about 1087.9880963951.

The spelling of 1287871200 in words is "one billion, two hundred eighty-seven million, eight hundred seventy-one thousand, two hundred".