122345124144342 has 128 divisors (see below), whose sum is σ = 280235007590400. Its totient is φ = 35267820854400.

The previous prime is 122345124144337. The next prime is 122345124144343. The reversal of 122345124144342 is 243441421543221.

It is a super-2 number, since 2×122345124144342² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122345124144294 and 122345124144303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122345124144343) 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, 2543057784 + ... + 2543105892.

It is an arithmetic number, because the mean of its divisors is an integer number (2189335996800).

Almost surely, 2^{122345124144342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122345124144342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140117503795200).

122345124144342 is an abundant number, since it is smaller than the sum of its proper divisors (157889883446058).

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

122345124144342 is a wasteful number, since it uses less digits than its factorization.

122345124144342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69282.

The product of its digits is 737280, while the sum is 42.

Adding to 122345124144342 its reverse (243441421543221), we get a palindrome (365786545687563).

The spelling of 122345124144342 in words is "one hundred twenty-two trillion, three hundred forty-five billion, one hundred twenty-four million, one hundred forty-four thousand, three hundred forty-two".