1199413152 has 288 divisors, whose sum is σ = 4149774720. Its totient is φ = 320993280.

The previous prime is 1199413151. The next prime is 1199413181. The reversal of 1199413152 is 2513149911.

1199413152 is a `hidden beast` number, since 1 + 1 + 99 + 413 + 152 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (1199413151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6626502 + ... + 6626682.

It is an arithmetic number, because the mean of its divisors is an integer number (14408940).

Almost surely, 2^1199413152 is an apocalyptic number.

1199413152 is a gapful number since it is divisible by the number (12) 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 1199413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074887360).

1199413152 is an abundant number, since it is smaller than the sum of its proper divisors (2950361568).

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

1199413152 is a wasteful number, since it uses less digits than its factorization.

1199413152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 385 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The square root of 1199413152 is about 34632.5446942612. The cubic root of 1199413152 is about 1062.4853134210.

The spelling of 1199413152 in words is "one billion, one hundred ninety-nine million, four hundred thirteen thousand, one hundred fifty-two".