121122001211200 has 168 divisors, whose sum is σ = 326832250397184. Its totient is φ = 43813764096000.

The previous prime is 121122001211161. The next prime is 121122001211311. The reversal of 121122001211200 is 2112100221121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14653929 + ... + 21377128.

It is an arithmetic number, because the mean of its divisors is an integer number (1945430061888).

Almost surely, 2^{121122001211200} is an apocalyptic number.

121122001211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122001211200 is an abundant number, since it is smaller than the sum of its proper divisors (205710249185984).

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

121122001211200 is a wasteful number, since it uses less digits than its factorization.

121122001211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36031281 (or 36031266 counting only the distinct ones).

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

Adding to 121122001211200 its reverse (2112100221121), we get a palindrome (123234101432321).

The spelling of 121122001211200 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one million, two hundred eleven thousand, two hundred".