121012122200 has 192 divisors, whose sum is σ = 298748736000. Its totient is φ = 45507248640.

The previous prime is 121012122199. The next prime is 121012122271. The reversal of 121012122200 is 2221210121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116469281 + ... + 116470319.

It is an arithmetic number, because the mean of its divisors is an integer number (1555983000).

Almost surely, 2^121012122200 is an apocalyptic number.

121012122200 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 121012122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149374368000).

121012122200 is an abundant number, since it is smaller than the sum of its proper divisors (177736613800).

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

121012122200 is a wasteful number, since it uses less digits than its factorization.

121012122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121012122200 its reverse (2221210121), we get a palindrome (123233332321).

It can be divided in two parts, 1210121 and 22200, that added together give a palindrome (1232321).

The spelling of 121012122200 in words is "one hundred twenty-one billion, twelve million, one hundred twenty-two thousand, two hundred".