121300111131300 has 216 divisors, whose sum is σ = 392285788352640. Its totient is φ = 31334653958400.

The previous prime is 121300111131253. The next prime is 121300111131317. The reversal of 121300111131300 is 3131111003121.

121300111131300 is a `hidden beast` number, since 1 + 21 + 300 + 1 + 1 + 11 + 31 + 300 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12326506 + ... + 19863105.

It is an arithmetic number, because the mean of its divisors is an integer number (1816137909040).

Almost surely, 2^{121300111131300} is an apocalyptic number.

121300111131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121300111131300 is an abundant number, since it is smaller than the sum of its proper divisors (270985677221340).

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

121300111131300 is a wasteful number, since it uses less digits than its factorization.

121300111131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32189763 (or 32189753 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 121300111131300 its reverse (3131111003121), we get a palindrome (124431222134421).

The spelling of 121300111131300 in words is "one hundred twenty-one trillion, three hundred billion, one hundred eleven million, one hundred thirty-one thousand, three hundred".