121221002211000 has 1024 divisors, whose sum is σ = 420716287180800. Its totient is φ = 28948727808000.

The previous prime is 121221002210989. The next prime is 121221002211007. The reversal of 121221002211000 is 112200122121.

121221002211000 is digitally balanced in base 3, 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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221002211007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23173578385 + ... + 23173583615.

It is an arithmetic number, because the mean of its divisors is an integer number (410855749200).

Almost surely, 2^{121221002211000} is an apocalyptic number.

121221002211000 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 121221002211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210358143590400).

121221002211000 is an abundant number, since it is smaller than the sum of its proper divisors (299495284969800).

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

121221002211000 is a wasteful number, since it uses less digits than its factorization.

121221002211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5657 (or 5643 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121221002211000 its reverse (112200122121), we get a palindrome (121333202333121).

The spelling of 121221002211000 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two million, two hundred eleven thousand".