1200144416 has 72 divisors (see below), whose sum is σ = 2550772224. Its totient is φ = 555223680.

The previous prime is 1200144397. The next prime is 1200144433. The reversal of 1200144416 is 6144410021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 1200144391 and 1200144400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 523625 + ... + 525911.

It is an arithmetic number, because the mean of its divisors is an integer number (35427392).

Almost surely, 2^1200144416 is an apocalyptic number.

1200144416 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 1200144416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275386112).

1200144416 is an abundant number, since it is smaller than the sum of its proper divisors (1350627808).

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

1200144416 is a wasteful number, since it uses less digits than its factorization.

1200144416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1200144416 is about 34643.1005540786. The cubic root of 1200144416 is about 1062.7011966115.

Adding to 1200144416 its reverse (6144410021), we get a palindrome (7344554437).

The spelling of 1200144416 in words is "one billion, two hundred million, one hundred forty-four thousand, four hundred sixteen".