123119964 has 144 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 35280000.

The previous prime is 123119963. The next prime is 123120013. The reversal of 123119964 is 469911321.

It is a happy number.

It is a super-2 number, since 2×123119964² = 30317051070722592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123119963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 815289 + ... + 815439.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2^123119964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123119964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

123119964 is an abundant number, since it is smaller than the sum of its proper divisors (235405476).

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

123119964 is a wasteful number, since it uses less digits than its factorization.

123119964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 267 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 123119964 is about 11095.9435831298. The cubic root of 123119964 is about 497.4806120236.

The spelling of 123119964 in words is "one hundred twenty-three million, one hundred nineteen thousand, nine hundred sixty-four".