121411008 has 112 divisors (see below), whose sum is σ = 378012960. Its totient is φ = 38080512.

The previous prime is 121411001. The next prime is 121411009. The reversal of 121411008 is 800114121.

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 (121411001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27310 + ... + 31442.

Almost surely, 2^121411008 is an apocalyptic number.

121411008 is a gapful number since it is divisible by the number (18) 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 121411008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189006480).

121411008 is an abundant number, since it is smaller than the sum of its proper divisors (256601952).

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

121411008 is a wasteful number, since it uses less digits than its factorization.

121411008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4155 counting only the distinct ones).

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

The square root of 121411008 is about 11018.6663439819. Note that the first 3 decimals coincide. The cubic root of 121411008 is about 495.1681338854.

Adding to 121411008 its reverse (800114121), we get a palindrome (921525129).

The spelling of 121411008 in words is "one hundred twenty-one million, four hundred eleven thousand, eight".