121121211002112 has 288 divisors, whose sum is σ = 361802302767360. Its totient is φ = 39965237452800.

The previous prime is 121121211002111. The next prime is 121121211002117. The reversal of 121121211002112 is 211200112121121.

It is a happy number.

121121211002112 is a `hidden beast` number, since 121 + 121 + 211 + 0 + 0 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121211002111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3702071578 + ... + 3702104294.

It is an arithmetic number, because the mean of its divisors is an integer number (1256257995720).

Almost surely, 2^{121121211002112} is an apocalyptic number.

121121211002112 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 121121211002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180901151383680).

121121211002112 is an abundant number, since it is smaller than the sum of its proper divisors (240681091765248).

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

121121211002112 is a wasteful number, since it uses less digits than its factorization.

121121211002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38146 (or 38126 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121121211002112 its reverse (211200112121121), we get a palindrome (332321323123233).

The spelling of 121121211002112 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two hundred eleven million, two thousand, one hundred twelve".