122123411400342 has 128 divisors (see below), whose sum is σ = 277626539114496. Its totient is φ = 35478293760000.

The previous prime is 122123411400323. The next prime is 122123411400349. The reversal of 122123411400342 is 243004114321221.

It is a happy number.

It is a super-3 number, since 3×122123411400342³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122123411400349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154256167 + ... + 155045837.

It is an arithmetic number, because the mean of its divisors is an integer number (2168957336832).

Almost surely, 2^{122123411400342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122123411400342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138813269557248).

122123411400342 is an abundant number, since it is smaller than the sum of its proper divisors (155503127714154).

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

122123411400342 is a wasteful number, since it uses less digits than its factorization.

122123411400342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790426.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 122123411400342 its reverse (243004114321221), we get a palindrome (365127525721563).

The spelling of 122123411400342 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, four hundred eleven million, four hundred thousand, three hundred forty-two".