122420104345024 has 56 divisors (see below), whose sum is σ = 245533123388448. Its totient is φ = 60554011607040.

The previous prime is 122420104344997. The next prime is 122420104345043. The reversal of 122420104345024 is 420543401024221.

It is a super-4 number, since 4×122420104345024⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10972704 + ... + 19111264.

It is an arithmetic number, because the mean of its divisors is an integer number (4384520060508).

Almost surely, 2^{122420104345024} 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 122420104345024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122766561694224).

122420104345024 is an abundant number, since it is smaller than the sum of its proper divisors (123113019043424).

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

122420104345024 is an equidigital number, since it uses as much as digits as its factorization.

122420104345024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8141093 (or 8141083 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 122420104345024 its reverse (420543401024221), we get a palindrome (542963505369245).

The spelling of 122420104345024 in words is "one hundred twenty-two trillion, four hundred twenty billion, one hundred four million, three hundred forty-five thousand, twenty-four".