1282228200 has 288 divisors, whose sum is σ = 4851475200. Its totient is φ = 300672000.

The previous prime is 1282228193. The next prime is 1282228201. The reversal of 1282228200 is 28222821.

It is not an unprimeable number, because it can be changed into a prime (1282228201) 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, 612756 + ... + 614844.

It is an arithmetic number, because the mean of its divisors is an integer number (16845400).

Almost surely, 2^1282228200 is an apocalyptic number.

1282228200 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 1282228200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425737600).

1282228200 is an abundant number, since it is smaller than the sum of its proper divisors (3569247000).

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

1282228200 is a wasteful number, since it uses less digits than its factorization.

1282228200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1282228200 is about 35808.2141414508. The cubic root of 1282228200 is about 1086.3967090499.

The spelling of 1282228200 in words is "one billion, two hundred eighty-two million, two hundred twenty-eight thousand, two hundred".