121131311030020 has 48 divisors (see below), whose sum is σ = 269352650025648. Its totient is φ = 45600070348800.

The previous prime is 121131311030017. The next prime is 121131311030021. The reversal of 121131311030020 is 20030113131121.

It can be written as a sum of positive squares in 8 ways, for example, as 21944371608324 + 99186939421696 = 4684482^2 + 9959264^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 121131311030020.

It is not an unprimeable number, because it can be changed into a prime (121131311030021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2263887 + ... + 15728566.

It is an arithmetic number, because the mean of its divisors is an integer number (5611513542201).

Almost surely, 2^{121131311030020} is an apocalyptic number.

121131311030020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121131311030020 is an abundant number, since it is smaller than the sum of its proper divisors (148221338995628).

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

121131311030020 is a wasteful number, since it uses less digits than its factorization.

121131311030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18012280 (or 18012278 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 121131311030020 its reverse (20030113131121), we get a palindrome (141161424161141).

The spelling of 121131311030020 in words is "one hundred twenty-one trillion, one hundred thirty-one billion, three hundred eleven million, thirty thousand, twenty".