123420420144 has 160 divisors (see below), whose sum is σ = 407297264640. Its totient is φ = 35051678208.

The previous prime is 123420420143. The next prime is 123420420181. The reversal of 123420420144 is 441024024321.

123420420144 is a `hidden beast` number, since 1 + 234 + 2 + 0 + 420 + 1 + 4 + 4 = 666.

123420420144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (123420420143) 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, 382812 + ... + 627204.

It is an arithmetic number, because the mean of its divisors is an integer number (2545607904).

Almost surely, 2^123420420144 is an apocalyptic number.

123420420144 is a gapful number since it is divisible by the number (14) 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 123420420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203648632320).

123420420144 is an abundant number, since it is smaller than the sum of its proper divisors (283876844496).

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

123420420144 is a wasteful number, since it uses less digits than its factorization.

123420420144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244584 (or 244572 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 123420420144 its reverse (441024024321), we get a palindrome (564444444465).

The spelling of 123420420144 in words is "one hundred twenty-three billion, four hundred twenty million, four hundred twenty thousand, one hundred forty-four".