121122112201200 has 480 divisors, whose sum is σ = 471970145548800. Its totient is φ = 29258433792000.

The previous prime is 121122112201193. The next prime is 121122112201219. The reversal of 121122112201200 is 2102211221121.

121122112201200 is a `hidden beast` number, since 1 + 2 + 112 + 211 + 220 + 120 + 0 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31568661 + ... + 35196939.

It is an arithmetic number, because the mean of its divisors is an integer number (983271136560).

Almost surely, 2^{121122112201200} is an apocalyptic number.

121122112201200 is a gapful number since it is divisible by the number (10) 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 121122112201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235985072774400).

121122112201200 is an abundant number, since it is smaller than the sum of its proper divisors (350848033347600).

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

121122112201200 is a wasteful number, since it uses less digits than its factorization.

121122112201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628598 (or 3628581 counting only the distinct ones).

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

Adding to 121122112201200 its reverse (2102211221121), we get a palindrome (123224323422321).

The spelling of 121122112201200 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred twelve million, two hundred one thousand, two hundred".