122340414042 has 336 divisors, whose sum is σ = 348383204736. Its totient is φ = 31524292800.

The previous prime is 122340414029. The next prime is 122340414113. The reversal of 122340414042 is 240414043221.

122340414042 is a `hidden beast` number, since 12 + 234 + 0 + 414 + 0 + 4 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 122340413997 and 122340414015.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 193883067 + ... + 193883697.

It is an arithmetic number, because the mean of its divisors is an integer number (1036854776).

Almost surely, 2^122340414042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122340414042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174191602368).

122340414042 is an abundant number, since it is smaller than the sum of its proper divisors (226042790694).

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

122340414042 is a wasteful number, since it uses less digits than its factorization.

122340414042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 811 counting only the distinct ones).

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

Adding to 122340414042 its reverse (240414043221), we get a palindrome (362754457263).

The spelling of 122340414042 in words is "one hundred twenty-two billion, three hundred forty million, four hundred fourteen thousand, forty-two".