1291412400 has 120 divisors (see below), whose sum is σ = 4164804864. Its totient is φ = 342048000.

The previous prime is 1291412399. The next prime is 1291412411. The reversal of 1291412400 is 42141921.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177637 + ... + 184763.

Almost surely, 2^1291412400 is an apocalyptic number.

1291412400 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 1291412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082402432).

1291412400 is an abundant number, since it is smaller than the sum of its proper divisors (2873392464).

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

1291412400 is a wasteful number, since it uses less digits than its factorization.

1291412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7299 (or 7288 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1291412400 is about 35936.2268470133. The cubic root of 1291412400 is about 1088.9843806917.

The spelling of 1291412400 in words is "one billion, two hundred ninety-one million, four hundred twelve thousand, four hundred".