122400211024 has 160 divisors (see below), whose sum is σ = 303305031680. Its totient is φ = 46547136000.

The previous prime is 122400210997. The next prime is 122400211039. The reversal of 122400211024 is 420112004221.

It is a super-2 number, since 2×122400211024² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122400210992 and 122400211010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6806557 + ... + 6824515.

It is an arithmetic number, because the mean of its divisors is an integer number (1895656448).

Almost surely, 2^122400211024 is an apocalyptic number.

122400211024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122400211024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151652515840).

122400211024 is an abundant number, since it is smaller than the sum of its proper divisors (180904820656).

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

122400211024 is a wasteful number, since it uses less digits than its factorization.

122400211024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18169 (or 18163 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 122400211024 its reverse (420112004221), we get a palindrome (542512215245).

The spelling of 122400211024 in words is "one hundred twenty-two billion, four hundred million, two hundred eleven thousand, twenty-four".