122221001120 has 96 divisors (see below), whose sum is σ = 302485881600. Its totient is φ = 46604952576.

The previous prime is 122221001099. The next prime is 122221001141. The reversal of 122221001120 is 21100122221.

It is an interprime number because it is at equal distance from previous prime (122221001099) and next prime (122221001141).

It is a super-2 number, since 2×122221001120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122221001095 and 122221001104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199847 + ... + 533273.

It is an arithmetic number, because the mean of its divisors is an integer number (3150894600).

Almost surely, 2^122221001120 is an apocalyptic number.

122221001120 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 122221001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151242940800).

122221001120 is an abundant number, since it is smaller than the sum of its proper divisors (180264880480).

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

122221001120 is a wasteful number, since it uses less digits than its factorization.

122221001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333550 (or 333542 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122221001120 its reverse (21100122221), we get a palindrome (143321123341).

The spelling of 122221001120 in words is "one hundred twenty-two billion, two hundred twenty-one million, one thousand, one hundred twenty".