121100000008 has 64 divisors (see below), whose sum is σ = 246847350960. Its totient is φ = 55362994176.

The previous prime is 121099999981. The next prime is 121100000051. The reversal of 121100000008 is 800000001121.

It can be written as a sum of positive squares in 8 ways, for example, as 3507245284 + 117592754724 = 59222^2 + 342918^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34043766 + ... + 34047322.

Almost surely, 2^121100000008 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 121100000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123423675480).

121100000008 is an abundant number, since it is smaller than the sum of its proper divisors (125747350952).

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

121100000008 is a wasteful number, since it uses less digits than its factorization.

121100000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6586 (or 6582 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121100000008 its reverse (800000001121), we get a palindrome (921100001129).

The spelling of 121100000008 in words is "one hundred twenty-one billion, one hundred million, eight", and thus it is an aban number.