122403131324040 has 512 divisors, whose sum is σ = 425211088896000. Its totient is φ = 27610564939776.

The previous prime is 122403131323987. The next prime is 122403131324081. The reversal of 122403131324040 is 40423131304221.

122403131324040 is digitally balanced in base 4, 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 122403131323989 and 122403131324007.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35926952017 + ... + 35926955423.

It is an arithmetic number, because the mean of its divisors is an integer number (830490408000).

Almost surely, 2^{122403131324040} is an apocalyptic number.

122403131324040 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 122403131324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212605544448000).

122403131324040 is an abundant number, since it is smaller than the sum of its proper divisors (302807957571960).

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

122403131324040 is a wasteful number, since it uses less digits than its factorization.

122403131324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 122403131324040 its reverse (40423131304221), we get a palindrome (162826262628261).

The spelling of 122403131324040 in words is "one hundred twenty-two trillion, four hundred three billion, one hundred thirty-one million, three hundred twenty-four thousand, forty".