121310020 has 48 divisors (see below), whose sum is σ = 276842160. Its totient is φ = 44384256.

The previous prime is 121309997. The next prime is 121310069. The reversal of 121310020 is 20013121.

121310020 = 1334² + 1335² + ... + 1398².

It can be written as a sum of positive squares in 8 ways, for example, as 34857216 + 86452804 = 5904^2 + 9298^2 .

It is a super-2 number, since 2×121310020² = 29432241904800800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 121309979 and 121310006.

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 15 ways as a sum of consecutive naturals, for example, 27316 + ... + 31444.

It is an arithmetic number, because the mean of its divisors is an integer number (5767545).

Almost surely, 2^121310020 is an apocalyptic number.

121310020 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 121310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138421080).

121310020 is an abundant number, since it is smaller than the sum of its proper divisors (155532140).

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

121310020 is a wasteful number, since it uses less digits than its factorization.

121310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 121310020 is about 11014.0828033931. The cubic root of 121310020 is about 495.0308044633.

Adding to 121310020 its reverse (20013121), we get a palindrome (141323141).

The spelling of 121310020 in words is "one hundred twenty-one million, three hundred ten thousand, twenty".