121111022112 has 96 divisors (see below), whose sum is σ = 324333616320. Its totient is φ = 39560401920.

The previous prime is 121111021979. The next prime is 121111022113. The reversal of 121111022112 is 211220111121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 121111022091 and 121111022100.

It is not an unprimeable number, because it can be changed into a prime (121111022113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1536823 + ... + 1613705.

It is an arithmetic number, because the mean of its divisors is an integer number (3378475170).

Almost surely, 2^121111022112 is an apocalyptic number.

121111022112 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 121111022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162166808160).

121111022112 is an abundant number, since it is smaller than the sum of its proper divisors (203222594208).

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

121111022112 is a wasteful number, since it uses less digits than its factorization.

121111022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77226 (or 77218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121111022112 its reverse (211220111121), we get a palindrome (332331133233).

The spelling of 121111022112 in words is "one hundred twenty-one billion, one hundred eleven million, twenty-two thousand, one hundred twelve".