122111022002120 has 32 divisors (see below), whose sum is σ = 277836875911800. Its totient is φ = 48295595217408.

The previous prime is 122111022002071. The next prime is 122111022002129. The reversal of 122111022002120 is 21200220111221.

It can be written as a sum of positive squares in 4 ways, for example, as 75757283345956 + 46353738656164 = 8703866^2 + 6808358^2 .

It is a super-2 number, since 2×122111022002120² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122111022002129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17150420879 + ... + 17150427998.

Almost surely, 2^{122111022002120} is an apocalyptic number.

122111022002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111022002120 is an abundant number, since it is smaller than the sum of its proper divisors (155725853909680).

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

122111022002120 is a wasteful number, since it uses less digits than its factorization.

122111022002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34300848977 (or 34300848973 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122111022002120 its reverse (21200220111221), we get a palindrome (143311242113341).

The spelling of 122111022002120 in words is "one hundred twenty-two trillion, one hundred eleven billion, twenty-two million, two thousand, one hundred twenty".