121122011210200 has 1152 divisors, whose sum is σ = 389221533227520. Its totient is φ = 34454594764800.

The previous prime is 121122011210183. The next prime is 121122011210261. The reversal of 121122011210200 is 2012110221121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 92956262749 + ... + 92956264051.

It is an arithmetic number, because the mean of its divisors is an integer number (337865914260).

Almost surely, 2^{121122011210200} is an apocalyptic number.

121122011210200 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 121122011210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194610766613760).

121122011210200 is an abundant number, since it is smaller than the sum of its proper divisors (268099522017320).

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

121122011210200 is a wasteful number, since it uses less digits than its factorization.

121122011210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2041 counting only the distinct ones).

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

Adding to 121122011210200 its reverse (2012110221121), we get a palindrome (123134121431321).

The spelling of 121122011210200 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, eleven million, two hundred ten thousand, two hundred".