122414410140032 has 128 divisors (see below), whose sum is σ = 262715582736000. Its totient is φ = 56604276596736.

The previous prime is 122414410139971. The next prime is 122414410140079. The reversal of 122414410140032 is 230041014414221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×122414410140032² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122414410139977 and 122414410140004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279529943 + ... + 279967529.

It is an arithmetic number, because the mean of its divisors is an integer number (2052465490125).

Almost surely, 2^{122414410140032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122414410140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131357791368000).

122414410140032 is an abundant number, since it is smaller than the sum of its proper divisors (140301172595968).

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

122414410140032 is a wasteful number, since it uses less digits than its factorization.

122414410140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439856 (or 439844 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 122414410140032 its reverse (230041014414221), we get a palindrome (352455424554253).

The spelling of 122414410140032 in words is "one hundred twenty-two trillion, four hundred fourteen billion, four hundred ten million, one hundred forty thousand, thirty-two".