119958048 has 144 divisors (see below), whose sum is σ = 393382080. Its totient is φ = 33965568.

The previous prime is 119958031. The next prime is 119958049. The reversal of 119958048 is 840859911.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 119957994 and 119958012.

It is not an unprimeable number, because it can be changed into a prime (119958049) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 316323 + ... + 316701.

It is an arithmetic number, because the mean of its divisors is an integer number (2731820).

Almost surely, 2^119958048 is an apocalyptic number.

119958048 is a gapful number since it is divisible by the number (18) 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 119958048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196691040).

119958048 is an abundant number, since it is smaller than the sum of its proper divisors (273424032).

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

119958048 is a wasteful number, since it uses less digits than its factorization.

119958048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 119958048 is about 10952.5361446562. The cubic root of 119958048 is about 493.1849289838.

The spelling of 119958048 in words is "one hundred nineteen million, nine hundred fifty-eight thousand, forty-eight".