121008420 has 72 divisors (see below), whose sum is σ = 395301816. Its totient is φ = 29786112.

The previous prime is 121008319. The next prime is 121008427. The reversal of 121008420 is 24800121.

It can be written as a sum of positive squares in 4 ways, for example, as 5531904 + 115476516 = 2352^2 + 10746^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121008393 and 121008402.

It is not an unprimeable number, because it can be changed into a prime (121008427) 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 23 ways as a sum of consecutive naturals, for example, 23517 + ... + 28196.

It is an arithmetic number, because the mean of its divisors is an integer number (5490303).

Almost surely, 2^121008420 is an apocalyptic number.

121008420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121008420 is an abundant number, since it is smaller than the sum of its proper divisors (274293396).

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

121008420 is a wasteful number, since it uses less digits than its factorization.

121008420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51741 (or 51736 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 121008420 is about 11000.3827206148. The cubic root of 121008420 is about 494.6202168015.

Adding to 121008420 its reverse (24800121), we get a palindrome (145808541).

The spelling of 121008420 in words is "one hundred twenty-one million, eight thousand, four hundred twenty".