121021122121200 has 810 divisors, whose sum is σ = 504813150037872. Its totient is φ = 26769611635200.

The previous prime is 121021122121147. The next prime is 121021122121201. The reversal of 121021122121200 is 2121221120121.

121021122121200 is a `hidden beast` number, since 1 + 2 + 10 + 211 + 221 + 21 + 200 = 666.

It is a super-2 number, since 2×121021122121200² (a number of 29 digits) contains 22 as substring.

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 (121021122121201) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 169163449 + ... + 169877351.

Almost surely, 2^{121021122121200} is an apocalyptic number.

121021122121200 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 121021122121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252406575018936).

121021122121200 is an abundant number, since it is smaller than the sum of its proper divisors (383792027916672).

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

121021122121200 is a wasteful number, since it uses less digits than its factorization.

121021122121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714003 (or 713951 counting only the distinct ones).

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

Adding to 121021122121200 its reverse (2121221120121), we get a palindrome (123142343241321).

It can be divided in two parts, 121021 and 122121200, that added together give a palindrome (122242221).

The spelling of 121021122121200 in words is "one hundred twenty-one trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred".