119941920 has 288 divisors, whose sum is σ = 477090432. Its totient is φ = 26873856.

The previous prime is 119941903. The next prime is 119941931. The reversal of 119941920 is 29149911.

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 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 47 ways as a sum of consecutive naturals, for example, 735759 + ... + 735921.

It is an arithmetic number, because the mean of its divisors is an integer number (1656564).

Almost surely, 2^119941920 is an apocalyptic number.

119941920 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 119941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238545216).

119941920 is an abundant number, since it is smaller than the sum of its proper divisors (357148512).

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

119941920 is a wasteful number, since it uses less digits than its factorization.

119941920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 119941920 is about 10951.7998520791. The cubic root of 119941920 is about 493.1628255814.

The spelling of 119941920 in words is "one hundred nineteen million, nine hundred forty-one thousand, nine hundred twenty".