1261273104 has 240 divisors, whose sum is σ = 4495545600. Its totient is φ = 321076224.

The previous prime is 1261273081. The next prime is 1261273127. The reversal of 1261273104 is 4013721621.

1261273104 is a `hidden beast` number, since 12 + 612 + 7 + 31 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1261273081) and next prime (1261273127).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378357 + ... + 381675.

It is an arithmetic number, because the mean of its divisors is an integer number (18731440).

Almost surely, 2^1261273104 is an apocalyptic number.

1261273104 is a gapful number since it is divisible by the number (14) 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 1261273104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247772800).

1261273104 is an abundant number, since it is smaller than the sum of its proper divisors (3234272496).

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

1261273104 is a wasteful number, since it uses less digits than its factorization.

1261273104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1261273104 is about 35514.4069920927. The cubic root of 1261273104 is about 1080.4459475238.

Adding to 1261273104 its reverse (4013721621), we get a palindrome (5274994725).

The spelling of 1261273104 in words is "one billion, two hundred sixty-one million, two hundred seventy-three thousand, one hundred four".