121221011001200 has 360 divisors, whose sum is σ = 325646920544400. Its totient is φ = 43319256780800.

The previous prime is 121221011001193. The next prime is 121221011001239. The reversal of 121221011001200 is 2100110122121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13515550316 + ... + 13515559284.

It is an arithmetic number, because the mean of its divisors is an integer number (904574779290).

Almost surely, 2^{121221011001200} is an apocalyptic number.

121221011001200 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 121221011001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162823460272200).

121221011001200 is an abundant number, since it is smaller than the sum of its proper divisors (204425909543200).

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

121221011001200 is a wasteful number, since it uses less digits than its factorization.

121221011001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13801 (or 13779 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121221011001200 its reverse (2100110122121), we get a palindrome (123321121123321).

The spelling of 121221011001200 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, eleven million, one thousand, two hundred".