121122122001120 has 240 divisors, whose sum is σ = 446045380814880. Its totient is φ = 30894917999616.

The previous prime is 121122122001079. The next prime is 121122122001157. The reversal of 121122122001120 is 21100221221121.

121122122001120 is a `hidden beast` number, since 1 + 211 + 221 + 2 + 200 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 121122122001093 and 121122122001102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 202872415 + ... + 203468574.

It is an arithmetic number, because the mean of its divisors is an integer number (1858522420062).

Almost surely, 2^{121122122001120} is an apocalyptic number.

121122122001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122122001120 is an abundant number, since it is smaller than the sum of its proper divisors (324923258813760).

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

121122122001120 is a wasteful number, since it uses less digits than its factorization.

121122122001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406341039 (or 406341022 counting only the distinct ones).

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

Adding to 121122122001120 its reverse (21100221221121), we get a palindrome (142222343222241).

The spelling of 121122122001120 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, one thousand, one hundred twenty".