1190478120 has 256 divisors, whose sum is σ = 4025548800. Its totient is φ = 279659520.

The previous prime is 1190478083. The next prime is 1190478131. The reversal of 1190478120 is 218740911.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4980961 + ... + 4981199.

It is an arithmetic number, because the mean of its divisors is an integer number (15724800).

Almost surely, 2^1190478120 is an apocalyptic number.

1190478120 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 1190478120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012774400).

1190478120 is an abundant number, since it is smaller than the sum of its proper divisors (2835070680).

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

1190478120 is a wasteful number, since it uses less digits than its factorization.

1190478120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 1190478120 is about 34503.3059285628. The cubic root of 1190478120 is about 1059.8404055442.

The spelling of 1190478120 in words is "one billion, one hundred ninety million, four hundred seventy-eight thousand, one hundred twenty".