123273630 has 128 divisors (see below), whose sum is σ = 352719360. Its totient is φ = 30528000.

The previous prime is 123273617. The next prime is 123273637. The reversal of 123273630 is 36372321.

123273630 is a `hidden beast` number, since 1 + 2 + 3 + 27 + 3 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123273594 and 123273603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123273637) by changing a digit.

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, 491005 + ... + 491255.

It is an arithmetic number, because the mean of its divisors is an integer number (2755620).

Almost surely, 2^123273630 is an apocalyptic number.

123273630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123273630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176359680).

123273630 is an abundant number, since it is smaller than the sum of its proper divisors (229445730).

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

123273630 is a wasteful number, since it uses less digits than its factorization.

123273630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 123273630 is about 11102.8658462579. The cubic root of 123273630 is about 497.6874944583.

The spelling of 123273630 in words is "one hundred twenty-three million, two hundred seventy-three thousand, six hundred thirty".