1261430112 has 96 divisors (see below), whose sum is σ = 3400911360. Its totient is φ = 409167360.

The previous prime is 1261430017. The next prime is 1261430113. The reversal of 1261430112 is 2110341621.

1261430112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261430113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1778814 + ... + 1779522.

It is an arithmetic number, because the mean of its divisors is an integer number (35426160).

Almost surely, 2^1261430112 is an apocalyptic number.

1261430112 is a gapful number since it is divisible by the number (12) 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 1261430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700455680).

1261430112 is an abundant number, since it is smaller than the sum of its proper divisors (2139481248).

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

1261430112 is a wasteful number, since it uses less digits than its factorization.

1261430112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1261430112 is about 35516.6174065042. The cubic root of 1261430112 is about 1080.4907783163.

Adding to 1261430112 its reverse (2110341621), we get a palindrome (3371771733).

The spelling of 1261430112 in words is "one billion, two hundred sixty-one million, four hundred thirty thousand, one hundred twelve".