121221021211200 has 1008 divisors, whose sum is σ = 442119408546816. Its totient is φ = 31492177920000.

The previous prime is 121221021211193. The next prime is 121221021211201. The reversal of 121221021211200 is 2112120122121.

121221021211200 is a `hidden beast` number, since 1 + 21 + 2 + 210 + 21 + 211 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (121221021211201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76576765609 + ... + 76576767191.

It is an arithmetic number, because the mean of its divisors is an integer number (438610524352).

Almost surely, 2^{121221021211200} is an apocalyptic number.

121221021211200 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 121221021211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221059704273408).

121221021211200 is an abundant number, since it is smaller than the sum of its proper divisors (320898387335616).

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

121221021211200 is a wasteful number, since it uses less digits than its factorization.

121221021211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2514 counting only the distinct ones).

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

Adding to 121221021211200 its reverse (2112120122121), we get a palindrome (123333141333321).

The spelling of 121221021211200 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twenty-one million, two hundred eleven thousand, two hundred".