121300132112300 has 72 divisors (see below), whose sum is σ = 266005360348560. Its totient is φ = 48007124582400.

The previous prime is 121300132112239. The next prime is 121300132112317. The reversal of 121300132112300 is 3211231003121.

It is a happy number.

It is a super-3 number, since 3×121300132112300³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35001740 + ... + 38310860.

It is an arithmetic number, because the mean of its divisors is an integer number (3694518893730).

Almost surely, 2^{121300132112300} is an apocalyptic number.

121300132112300 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 121300132112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133002680174280).

121300132112300 is an abundant number, since it is smaller than the sum of its proper divisors (144705228236260).

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

121300132112300 is a wasteful number, since it uses less digits than its factorization.

121300132112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313011 (or 3313004 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 121300132112300 its reverse (3211231003121), we get a palindrome (124511363115421).

The spelling of 121300132112300 in words is "one hundred twenty-one trillion, three hundred billion, one hundred thirty-two million, one hundred twelve thousand, three hundred".