123621120 has 432 divisors, whose sum is σ = 517295520. Its totient is φ = 27869184.

The previous prime is 123621119. The next prime is 123621131. The reversal of 123621120 is 21126321.

123621120 is a `hidden beast` number, since 1 + 23 + 621 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123621093 and 123621102.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1693404 + ... + 1693476.

Almost surely, 2^123621120 is an apocalyptic number.

123621120 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 123621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258647760).

123621120 is an abundant number, since it is smaller than the sum of its proper divisors (393674400).

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

123621120 is an equidigital number, since it uses as much as digits as its factorization.

123621120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 123621120 is about 11118.5034964243. The cubic root of 123621120 is about 498.1546913837.

Adding to 123621120 its reverse (21126321), we get a palindrome (144747441).

The spelling of 123621120 in words is "one hundred twenty-three million, six hundred twenty-one thousand, one hundred twenty".