121121001008 has 80 divisors (see below), whose sum is σ = 270837456960. Its totient is φ = 51400147968.

The previous prime is 121121001007. The next prime is 121121001011. The reversal of 121121001008 is 800100121121.

121121001008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (121121001007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5140358 + ... + 5163866.

It is an arithmetic number, because the mean of its divisors is an integer number (3385468212).

Almost surely, 2^121121001008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121121001008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135418728480).

121121001008 is an abundant number, since it is smaller than the sum of its proper divisors (149716455952).

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

121121001008 is a wasteful number, since it uses less digits than its factorization.

121121001008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23974 (or 23968 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 121121001008 its reverse (800100121121), we get a palindrome (921221122129).

The spelling of 121121001008 in words is "one hundred twenty-one billion, one hundred twenty-one million, one thousand, eight".