1261305244200 has 192 divisors, whose sum is σ = 3937099795200. Its totient is φ = 334028620800.

The previous prime is 1261305244169. The next prime is 1261305244219. The reversal of 1261305244200 is 24425031621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53476410 + ... + 53499990.

It is an arithmetic number, because the mean of its divisors is an integer number (20505728100).

Almost surely, 2^{1261305244200} is an apocalyptic number.

1261305244200 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 1261305244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968549897600).

1261305244200 is an abundant number, since it is smaller than the sum of its proper divisors (2675794551000).

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

1261305244200 is a wasteful number, since it uses less digits than its factorization.

1261305244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24212 (or 24203 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 1261305244200 in words is "one trillion, two hundred sixty-one billion, three hundred five million, two hundred forty-four thousand, two hundred".