1261348200 has 480 divisors, whose sum is σ = 5131368000. Its totient is φ = 287038080.

The previous prime is 1261348189. The next prime is 1261348211. The reversal of 1261348200 is 28431621.

1261348200 is a `hidden beast` number, since 1 + 2 + 613 + 48 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1261348189) and next prime (1261348211).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5556487 + ... + 5556713.

It is an arithmetic number, because the mean of its divisors is an integer number (10690350).

Almost surely, 2^1261348200 is an apocalyptic number.

1261348200 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 1261348200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565684000).

1261348200 is an abundant number, since it is smaller than the sum of its proper divisors (3870019800).

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

1261348200 is a wasteful number, since it uses less digits than its factorization.

1261348200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1261348200 is about 35515.4642374276. The cubic root of 1261348200 is about 1080.4673902915.

Adding to 1261348200 its reverse (28431621), we get a palindrome (1289779821).

The spelling of 1261348200 in words is "one billion, two hundred sixty-one million, three hundred forty-eight thousand, two hundred".