123121141440 has 112 divisors (see below), whose sum is σ = 426446899200. Its totient is φ = 29847546880.

The previous prime is 123121141433. The next prime is 123121141457. The reversal of 123121141440 is 44141121321.

It is a happy number.

123121141440 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 123121141440.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5819040 + ... + 5840159.

It is an arithmetic number, because the mean of its divisors is an integer number (3807561600).

Almost surely, 2^123121141440 is an apocalyptic number.

123121141440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123121141440 is an abundant number, since it is smaller than the sum of its proper divisors (303325757760).

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

123121141440 is a wasteful number, since it uses less digits than its factorization.

123121141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11659230 (or 11659220 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 123121141440 its reverse (44141121321), we get a palindrome (167262262761).

The spelling of 123121141440 in words is "one hundred twenty-three billion, one hundred twenty-one million, one hundred forty-one thousand, four hundred forty".