121111022221200 has 720 divisors, whose sum is σ = 476018118890496. Its totient is φ = 29326917542400.

The previous prime is 121111022221187. The next prime is 121111022221213. The reversal of 121111022221200 is 2122220111121.

121111022221200 is a `hidden beast` number, since 1 + 211 + 1 + 10 + 22 + 221 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (121111022221187) and next prime (121111022221213).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 948316549 + ... + 948444251.

Almost surely, 2^{121111022221200} is an apocalyptic number.

121111022221200 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 121111022221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238009059445248).

121111022221200 is an abundant number, since it is smaller than the sum of its proper divisors (354907096669296).

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

121111022221200 is a wasteful number, since it uses less digits than its factorization.

121111022221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128634 (or 128611 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121111022221200 its reverse (2122220111121), we get a palindrome (123233242332321).

The spelling of 121111022221200 in words is "one hundred twenty-one trillion, one hundred eleven billion, twenty-two million, two hundred twenty-one thousand, two hundred".