1198833120 has 288 divisors, whose sum is σ = 4410806400. Its totient is φ = 295529472.

The previous prime is 1198833079. The next prime is 1198833127. The reversal of 1198833120 is 213388911.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1198833127) 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, 1175971 + ... + 1176989.

It is an arithmetic number, because the mean of its divisors is an integer number (15315300).

Almost surely, 2^1198833120 is an apocalyptic number.

1198833120 is a gapful number since it is divisible by the number (10) 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 1198833120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205403200).

1198833120 is an abundant number, since it is smaller than the sum of its proper divisors (3211973280).

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

1198833120 is a wasteful number, since it uses less digits than its factorization.

1198833120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1198833120 is about 34624.1695929303. The cubic root of 1198833120 is about 1062.3140144126.

The spelling of 1198833120 in words is "one billion, one hundred ninety-eight million, eight hundred thirty-three thousand, one hundred twenty".