1291414120 has 64 divisors (see below), whose sum is σ = 3129891840. Its totient is φ = 478156800.

The previous prime is 1291414099. The next prime is 1291414121. The reversal of 1291414120 is 214141921.

It is not an unprimeable number, because it can be changed into a prime (1291414121) 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, 5880 + ... + 51160.

It is an arithmetic number, because the mean of its divisors is an integer number (48904560).

Almost surely, 2^1291414120 is an apocalyptic number.

1291414120 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 1291414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564945920).

1291414120 is an abundant number, since it is smaller than the sum of its proper divisors (1838477720).

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

1291414120 is a wasteful number, since it uses less digits than its factorization.

1291414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45346 (or 45342 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 1291414120 is about 35936.2507782879. The cubic root of 1291414120 is about 1088.9848641552.

The spelling of 1291414120 in words is "one billion, two hundred ninety-one million, four hundred fourteen thousand, one hundred twenty".