121202100001200 has 360 divisors, whose sum is σ = 419289840095808. Its totient is φ = 29907392417280.

The previous prime is 121202100001187. The next prime is 121202100001201. The reversal of 121202100001200 is 2100001202121.

121202100001200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (121202100001201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15374307 + ... + 21880893.

Almost surely, 2^{121202100001200} is an apocalyptic number.

121202100001200 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 121202100001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209644920047904).

121202100001200 is an abundant number, since it is smaller than the sum of its proper divisors (298087740094608).

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

121202100001200 is a wasteful number, since it uses less digits than its factorization.

121202100001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6506689 (or 6506659 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121202100001200 its reverse (2100001202121), we get a palindrome (123302101203321).

The spelling of 121202100001200 in words is "one hundred twenty-one trillion, two hundred two billion, one hundred million, one thousand, two hundred".