121122122121 has 288 divisors, whose sum is σ = 258926373888. Its totient is φ = 54632309760.

The previous prime is 121122122027. The next prime is 121122122171. The reversal of 121122122121 is 121221221121.

It is not a de Polignac number, because 121122122121 - 2⁹ = 121122121609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121122122094 and 121122122103.

It is not an unprimeable number, because it can be changed into a prime (121122122171) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 70296366 + ... + 70298088.

Almost surely, 2^121122122121 is an apocalyptic number.

121122122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121122122121 is an abundant number, since it is smaller than the sum of its proper divisors (137804251767).

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

121122122121 is a wasteful number, since it uses less digits than its factorization.

121122122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1774 counting only the distinct ones).

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

Adding to 121122122121 its reverse (121221221121), we get a palindrome (242343343242).

The spelling of 121122122121 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".