1284100000 has 72 divisors (see below), whose sum is σ = 3160133676. Its totient is φ = 513600000.

The previous prime is 1284099991. The next prime is 1284100001. The reversal of 1284100000 is 14821.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 168272784 + 1115827216 = 12972^2 + 33404^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1284100001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93580 + ... + 106420.

Almost surely, 2^1284100000 is an apocalyptic number.

1284100000 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 1284100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580066838).

1284100000 is an abundant number, since it is smaller than the sum of its proper divisors (1876033676).

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

1284100000 is an frugal number, since it uses more digits than its factorization.

1284100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12876 (or 12848 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1284100000 is about 35834.3410711011. The cubic root of 1284100000 is about 1086.9250935841.

Adding to 1284100000 its reverse (14821), we get a palindrome (1284114821).

The spelling of 1284100000 in words is "one billion, two hundred eighty-four million, one hundred thousand".