121122022001112 has 448 divisors, whose sum is σ = 379677552629760. Its totient is φ = 35892432806400.

The previous prime is 121122022001039. The next prime is 121122022001131. The reversal of 121122022001112 is 211100220221121.

121122022001112 is a `hidden beast` number, since 1 + 211 + 220 + 220 + 0 + 1 + 1 + 12 = 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 111 ways as a sum of consecutive naturals, for example, 3711625948 + ... + 3711658580.

It is an arithmetic number, because the mean of its divisors is an integer number (847494537120).

Almost surely, 2^{121122022001112} is an apocalyptic number.

121122022001112 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 121122022001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189838776314880).

121122022001112 is an abundant number, since it is smaller than the sum of its proper divisors (258555530628648).

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

121122022001112 is a wasteful number, since it uses less digits than its factorization.

121122022001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33946 (or 33927 counting only the distinct ones).

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

Adding to 121122022001112 its reverse (211100220221121), we get a palindrome (332222242222233).

The spelling of 121122022001112 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, twenty-two million, one thousand, one hundred twelve".