122111021001220 has 96 divisors (see below), whose sum is σ = 268577811532800. Its totient is φ = 46547191240704.

The previous prime is 122111021001209. The next prime is 122111021001313. The reversal of 122111021001220 is 22100120111221.

It is a super-2 number, since 2×122111021001220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111021001194 and 122111021001203.

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, 169980946 + ... + 170697814.

It is an arithmetic number, because the mean of its divisors is an integer number (2797685536800).

Almost surely, 2^{122111021001220} is an apocalyptic number.

122111021001220 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 122111021001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134288905766400).

122111021001220 is an abundant number, since it is smaller than the sum of its proper divisors (146466790531580).

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

122111021001220 is a wasteful number, since it uses less digits than its factorization.

122111021001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718277 (or 718275 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122111021001220 its reverse (22100120111221), we get a palindrome (144211141112441).

The spelling of 122111021001220 in words is "one hundred twenty-two trillion, one hundred eleven billion, twenty-one million, one thousand, two hundred twenty".