1215350800 has 60 divisors (see below), whose sum is σ = 2927548116. Its totient is φ = 484864000.

The previous prime is 1215350783. The next prime is 1215350837. The reversal of 1215350800 is 80535121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 27583504 + 1187767296 = 5252^2 + 34464^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156612 + ... + 164188.

Almost surely, 2^1215350800 is an apocalyptic number.

1215350800 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 1215350800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463774058).

1215350800 is an abundant number, since it is smaller than the sum of its proper divisors (1712197316).

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

1215350800 is a wasteful number, since it uses less digits than its factorization.

1215350800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7996 (or 7985 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 1215350800 is about 34861.8817621769. The cubic root of 1215350800 is about 1067.1706776108.

Adding to 1215350800 its reverse (80535121), we get a palindrome (1295885921).

The spelling of 1215350800 in words is "one billion, two hundred fifteen million, three hundred fifty thousand, eight hundred".