121111122122120 has 128 divisors (see below), whose sum is σ = 295534572157440. Its totient is φ = 44402459212800.

The previous prime is 121111122122117. The next prime is 121111122122149. The reversal of 121111122122120 is 21221221111121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121111122122092 and 121111122122101.

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, 117948449 + ... + 118970831.

It is an arithmetic number, because the mean of its divisors is an integer number (2308863844980).

Almost surely, 2^{121111122122120} is an apocalyptic number.

121111122122120 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 121111122122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147767286078720).

121111122122120 is an abundant number, since it is smaller than the sum of its proper divisors (174423450035320).

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

121111122122120 is a wasteful number, since it uses less digits than its factorization.

121111122122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024015 (or 1024011 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 121111122122120 its reverse (21221221111121), we get a palindrome (142332343233241).

The spelling of 121111122122120 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".