121221011201200 has 120 divisors (see below), whose sum is σ = 294202914638688. Its totient is φ = 47996362352640.

The previous prime is 121221011201161. The next prime is 121221011201237. The reversal of 121221011201200 is 2102110122121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12846684 + ... + 20186116.

Almost surely, 2^{121221011201200} is an apocalyptic number.

121221011201200 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 121221011201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147101457319344).

121221011201200 is an abundant number, since it is smaller than the sum of its proper divisors (172981903437488).

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

121221011201200 is a wasteful number, since it uses less digits than its factorization.

121221011201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7339871 (or 7339860 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121221011201200 its reverse (2102110122121), we get a palindrome (123323121323321).

The spelling of 121221011201200 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, eleven million, two hundred one thousand, two hundred".