121131232022112 has 192 divisors, whose sum is σ = 362598856724160. Its totient is φ = 35076084793344.

The previous prime is 121131232022093. The next prime is 121131232022131. The reversal of 121131232022112 is 211220232131121.

It is an interprime number because it is at equal distance from previous prime (121131232022093) and next prime (121131232022131).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290641908 + ... + 291058380.

It is an arithmetic number, because the mean of its divisors is an integer number (1888535712105).

Almost surely, 2^{121131232022112} is an apocalyptic number.

121131232022112 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 121131232022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181299428362080).

121131232022112 is an abundant number, since it is smaller than the sum of its proper divisors (241467624702048).

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

121131232022112 is a wasteful number, since it uses less digits than its factorization.

121131232022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430225 (or 430217 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 121131232022112 its reverse (211220232131121), we get a palindrome (332351464153233).

The spelling of 121131232022112 in words is "one hundred twenty-one trillion, one hundred thirty-one billion, two hundred thirty-two million, twenty-two thousand, one hundred twelve".