121221020201112 has 320 divisors, whose sum is σ = 370045369774080. Its totient is φ = 37005004939392.

The previous prime is 121221020201053. The next prime is 121221020201137. The reversal of 121221020201112 is 211102020122121.

121221020201112 is a `hidden beast` number, since 121 + 2 + 210 + 20 + 201 + 112 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 259739923 + ... + 260206205.

It is an arithmetic number, because the mean of its divisors is an integer number (1156391780544).

Almost surely, 2^{121221020201112} is an apocalyptic number.

121221020201112 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 121221020201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185022684887040).

121221020201112 is an abundant number, since it is smaller than the sum of its proper divisors (248824349572968).

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

121221020201112 is an equidigital number, since it uses as much as digits as its factorization.

121221020201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466456 (or 466428 counting only the distinct ones).

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

Adding to 121221020201112 its reverse (211102020122121), we get a palindrome (332323040323233).

The spelling of 121221020201112 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twenty million, two hundred one thousand, one hundred twelve".