121122121122 has 64 divisors (see below), whose sum is σ = 271973877120. Its totient is φ = 39952440000.

The previous prime is 121122121097. The next prime is 121122121217. The reversal of 121122121122 is 221121221121.

121122121122 is a `hidden beast` number, since 1 + 211 + 221 + 211 + 22 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121122121095 and 121122121104.

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, 12228372 + ... + 12238272.

It is an arithmetic number, because the mean of its divisors is an integer number (4249591830).

Almost surely, 2^121122121122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121122121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135986938560).

121122121122 is an abundant number, since it is smaller than the sum of its proper divisors (150851755998).

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

121122121122 is a wasteful number, since it uses less digits than its factorization.

121122121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12256 (or 12250 counting only the distinct ones).

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

Adding to 121122121122 its reverse (221121221121), we get a palindrome (342243342243).

Subtracting 121122121122 from its reverse (221121221121), we obtain a palindrome (99999099999).

The spelling of 121122121122 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-two".