1198149120 has 960 divisors, whose sum is σ = 5515361280. Its totient is φ = 233570304.

The previous prime is 1198149107. The next prime is 1198149221. The reversal of 1198149120 is 219418911.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1198149120² = 2871122627513548800, 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52093429 + ... + 52093451.

It is an arithmetic number, because the mean of its divisors is an integer number (5745168).

Almost surely, 2^1198149120 is an apocalyptic number.

1198149120 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 1198149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757680640).

1198149120 is an abundant number, since it is smaller than the sum of its proper divisors (4317212160).

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

1198149120 is a wasteful number, since it uses less digits than its factorization.

1198149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 1198149120 is about 34614.2906904070. The cubic root of 1198149120 is about 1062.1119398535. Note that the first 3 decimals are identical.

The spelling of 1198149120 in words is "one billion, one hundred ninety-eight million, one hundred forty-nine thousand, one hundred twenty".