121222201102200 has 576 divisors, whose sum is σ = 450353575526400. Its totient is φ = 28975352140800.

The previous prime is 121222201102187. The next prime is 121222201102201. The reversal of 121222201102200 is 2201102222121.

It is a happy number.

121222201102200 is a `hidden beast` number, since 1 + 21 + 222 + 201 + 1 + 0 + 220 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121222201102201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1146505737 + ... + 1146611463.

It is an arithmetic number, because the mean of its divisors is an integer number (781863846400).

Almost surely, 2^{121222201102200} is an apocalyptic number.

121222201102200 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 121222201102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225176787763200).

121222201102200 is an abundant number, since it is smaller than the sum of its proper divisors (329131374424200).

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

121222201102200 is a wasteful number, since it uses less digits than its factorization.

121222201102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106572 (or 106560 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121222201102200 its reverse (2201102222121), we get a palindrome (123423303324321).

The spelling of 121222201102200 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, two hundred one million, one hundred two thousand, two hundred".