121120122201120 has 576 divisors, whose sum is σ = 474685513795584. Its totient is φ = 27548907356160.

The previous prime is 121120122200993. The next prime is 121120122201121. The reversal of 121120122201120 is 21102221021121.

121120122201120 is a `hidden beast` number, since 1 + 211 + 201 + 2 + 220 + 11 + 20 = 666.

It is a super-3 number, since 3×121120122201120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121120122201093 and 121120122201102.

It is not an unprimeable number, because it can be changed into a prime (121120122201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6098379990 + ... + 6098399850.

It is an arithmetic number, because the mean of its divisors is an integer number (824106794784).

Almost surely, 2^{121120122201120} is an apocalyptic number.

121120122201120 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 121120122201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237342756897792).

121120122201120 is an abundant number, since it is smaller than the sum of its proper divisors (353565391594464).

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

121120122201120 is a wasteful number, since it uses less digits than its factorization.

121120122201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22825 (or 22814 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121120122201120 its reverse (21102221021121), we get a palindrome (142222343222241).

The spelling of 121120122201120 in words is "one hundred twenty-one trillion, one hundred twenty billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".