1229812416 has 224 divisors, whose sum is σ = 4157959680. Its totient is φ = 349166592.

The previous prime is 1229812357. The next prime is 1229812433. The reversal of 1229812416 is 6142189221.

1229812416 is a `hidden beast` number, since 1 + 229 + 8 + 12 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3543955 + ... + 3544301.

It is an arithmetic number, because the mean of its divisors is an integer number (18562320).

Almost surely, 2^1229812416 is an apocalyptic number.

1229812416 is a gapful number since it is divisible by the number (16) 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 1229812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078979840).

1229812416 is an abundant number, since it is smaller than the sum of its proper divisors (2928147264).

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

1229812416 is a wasteful number, since it uses less digits than its factorization.

1229812416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 652 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1229812416 is about 35068.6814123371. The cubic root of 1229812416 is about 1071.3867993772.

The spelling of 1229812416 in words is "one billion, two hundred twenty-nine million, eight hundred twelve thousand, four hundred sixteen".