1251216468 has 72 divisors (see below), whose sum is σ = 3337588800. Its totient is φ = 394432896.

The previous prime is 1251216437. The next prime is 1251216493. The reversal of 1251216468 is 8646121521.

It is a happy number.

1251216468 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 2 + 1 + 646 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65203 + ... + 82181.

It is an arithmetic number, because the mean of its divisors is an integer number (46355400).

Almost surely, 2^1251216468 is an apocalyptic number.

1251216468 is a gapful number since it is divisible by the number (18) 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 1251216468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668794400).

1251216468 is an abundant number, since it is smaller than the sum of its proper divisors (2086372332).

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

1251216468 is a wasteful number, since it uses less digits than its factorization.

1251216468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17101 (or 17096 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1251216468 is about 35372.5383313101. The cubic root of 1251216468 is about 1077.5666718363.

Adding to 1251216468 its reverse (8646121521), we get a palindrome (9897337989).

The spelling of 1251216468 in words is "one billion, two hundred fifty-one million, two hundred sixteen thousand, four hundred sixty-eight".