121301021300112 has 60 divisors (see below), whose sum is σ = 339529381908444. Its totient is φ = 40427123385600.

The previous prime is 121301021300083. The next prime is 121301021300119. The reversal of 121301021300112 is 211003120103121.

121301021300112 is a `hidden beast` number, since 121 + 30 + 102 + 1 + 300 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51882863256576 + 69418158043536 = 7202976^2 + 8331756^2 .

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

It is not an unprimeable number, because it can be changed into a prime (121301021300119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67341139 + ... + 69118962.

Almost surely, 2^{121301021300112} is an apocalyptic number.

121301021300112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121301021300112 is an abundant number, since it is smaller than the sum of its proper divisors (218228360608332).

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

121301021300112 is a wasteful number, since it uses less digits than its factorization.

121301021300112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136466288 (or 136466279 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121301021300112 its reverse (211003120103121), we get a palindrome (332304141403233).

The spelling of 121301021300112 in words is "one hundred twenty-one trillion, three hundred one billion, twenty-one million, three hundred thousand, one hundred twelve".