121122012012 has 72 divisors (see below), whose sum is σ = 304333781136. Its totient is φ = 37478449152.

The previous prime is 121122011957. The next prime is 121122012019. The reversal of 121122012012 is 210210221121.

It is a junction number, because it is equal to n+sod(n) for n = 121122011982 and 121122012000.

It is not an unprimeable number, because it can be changed into a prime (121122012019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13948 + ... + 492380.

Almost surely, 2^121122012012 is an apocalyptic number.

121122012012 is a gapful number since it is divisible by the number (12) 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 121122012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152166890568).

121122012012 is an abundant number, since it is smaller than the sum of its proper divisors (183211769124).

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

121122012012 is a wasteful number, since it uses less digits than its factorization.

121122012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478547 (or 478528 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121122012012 its reverse (210210221121), we get a palindrome (331332233133).

The spelling of 121122012012 in words is "one hundred twenty-one billion, one hundred twenty-two million, twelve thousand, twelve".