123206952 has 128 divisors (see below), whose sum is σ = 355829760. Its totient is φ = 35185920.

The previous prime is 123206933. The next prime is 123206957. The reversal of 123206952 is 259602321.

It is a super-2 number, since 2×123206952² = 30359906042260608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123206957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625318 + ... + 625514.

It is an arithmetic number, because the mean of its divisors is an integer number (2779920).

Almost surely, 2^123206952 is an apocalyptic number.

123206952 is a gapful number since it is divisible by the number (12) 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 123206952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177914880).

123206952 is an abundant number, since it is smaller than the sum of its proper divisors (232622808).

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

123206952 is a wasteful number, since it uses less digits than its factorization.

123206952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 123206952 is about 11099.8627018536. The cubic root of 123206952 is about 497.5977461704.

The spelling of 123206952 in words is "one hundred twenty-three million, two hundred six thousand, nine hundred fifty-two".