123020424400 has 60 divisors (see below), whose sum is σ = 305748204300. Its totient is φ = 47511331840.

The previous prime is 123020424377. The next prime is 123020424407. The reversal of 123020424400 is 4424020321.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 626801296 + 122393623104 = 25036^2 + 349848^2 .

It is a super-2 number, since 2×123020424400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123020424407) 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 11 ways as a sum of consecutive naturals, for example, 5291005 + ... + 5314204.

It is an arithmetic number, because the mean of its divisors is an integer number (5095803405).

Almost surely, 2^123020424400 is an apocalyptic number.

123020424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123020424400 is an abundant number, since it is smaller than the sum of its proper divisors (182727779900).

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

123020424400 is a wasteful number, since it uses less digits than its factorization.

123020424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10605256 (or 10605245 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 123020424400 its reverse (4424020321), we get a palindrome (127444444721).

The spelling of 123020424400 in words is "one hundred twenty-three billion, twenty million, four hundred twenty-four thousand, four hundred".