1287148920 has 128 divisors (see below), whose sum is σ = 4088448000. Its totient is φ = 323274240.

The previous prime is 1287148913. The next prime is 1287148927. The reversal of 1287148920 is 298417821.

It is an interprime number because it is at equal distance from previous prime (1287148913) and next prime (1287148927).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1287148927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411121 + ... + 414239.

It is an arithmetic number, because the mean of its divisors is an integer number (31941000).

Almost surely, 2^1287148920 is an apocalyptic number.

1287148920 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 1287148920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044224000).

1287148920 is an abundant number, since it is smaller than the sum of its proper divisors (2801299080).

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

1287148920 is a wasteful number, since it uses less digits than its factorization.

1287148920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 1287148920 is about 35876.8577219355. The cubic root of 1287148920 is about 1087.7846653391.

The spelling of 1287148920 in words is "one billion, two hundred eighty-seven million, one hundred forty-eight thousand, nine hundred twenty".