122211305420120 has 192 divisors, whose sum is σ = 336720691008000. Its totient is φ = 39693807191808.

The previous prime is 122211305420111. The next prime is 122211305420123. The reversal of 122211305420120 is 21024503112221.

It is a self number, because there is not a number n which added to its sum of digits gives 122211305420120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211305420123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927470801 + ... + 927602559.

It is an arithmetic number, because the mean of its divisors is an integer number (1753753599000).

Almost surely, 2^{122211305420120} is an apocalyptic number.

122211305420120 is a gapful number since it is divisible by the number (10) 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 122211305420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168360345504000).

122211305420120 is an abundant number, since it is smaller than the sum of its proper divisors (214509385587880).

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

122211305420120 is a wasteful number, since it uses less digits than its factorization.

122211305420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156710 (or 156699 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 122211305420120 its reverse (21024503112221), we get a palindrome (143235808532341).

The spelling of 122211305420120 in words is "one hundred twenty-two trillion, two hundred eleven billion, three hundred five million, four hundred twenty thousand, one hundred twenty".