1199407104 has 288 divisors, whose sum is σ = 4079160540. Its totient is φ = 338558976.

The previous prime is 1199407093. The next prime is 1199407123. The reversal of 1199407104 is 4017049911.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1199407104² = 2877154802251333632, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 14450647 + ... + 14450729.

Almost surely, 2^1199407104 is an apocalyptic number.

1199407104 is a gapful number since it is divisible by the number (14) 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 1199407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039580270).

1199407104 is an abundant number, since it is smaller than the sum of its proper divisors (2879753436).

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

1199407104 is an frugal number, since it uses more digits than its factorization.

1199407104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1199407104 is about 34632.4573774371. The cubic root of 1199407104 is about 1062.4835275693.

The spelling of 1199407104 in words is "one billion, one hundred ninety-nine million, four hundred seven thousand, one hundred four".