121030020 has 72 divisors (see below), whose sum is σ = 368124120. Its totient is φ = 32186880.

The previous prime is 121030001. The next prime is 121030031. The reversal of 121030020 is 20030121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 55711296 + 65318724 = 7464^2 + 8082^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121029984 and 121030011.

It is an unprimeable number.

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, 90960 + ... + 92280.

It is an arithmetic number, because the mean of its divisors is an integer number (5112835).

Almost surely, 2^121030020 is an apocalyptic number.

121030020 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 121030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184062060).

121030020 is an abundant number, since it is smaller than the sum of its proper divisors (247094100).

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

121030020 is a wasteful number, since it uses less digits than its factorization.

121030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 121030020 is about 11001.3644608294. The cubic root of 121030020 is about 494.6496449495.

Adding to 121030020 its reverse (20030121), we get a palindrome (141060141).

The spelling of 121030020 in words is "one hundred twenty-one million, thirty thousand, twenty".