123020040 has 256 divisors, whose sum is σ = 444165120. Its totient is φ = 26864640.

The previous prime is 123020011. The next prime is 123020047. The reversal of 123020040 is 40020321.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 123019998 and 123020025.

It is not an unprimeable number, because it can be changed into a prime (123020047) 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 63 ways as a sum of consecutive naturals, for example, 1149667 + ... + 1149773.

It is an arithmetic number, because the mean of its divisors is an integer number (1735020).

Almost surely, 2^123020040 is an apocalyptic number.

123020040 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 123020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222082560).

123020040 is an abundant number, since it is smaller than the sum of its proper divisors (321145080).

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

123020040 is a wasteful number, since it uses less digits than its factorization.

123020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 123020040 is about 11091.4399425864. The cubic root of 123020040 is about 497.3459907285.

Adding to 123020040 its reverse (40020321), we get a palindrome (163040361).

The spelling of 123020040 in words is "one hundred twenty-three million, twenty thousand, forty".