121132113300000 has 1728 divisors, whose sum is σ = 484293457484928. Its totient is φ = 28459468800000.

The previous prime is 121132113299947. The next prime is 121132113300091. The reversal of 121132113300000 is 3311231121.

121132113300000 is a `hidden beast` number, since 1 + 2 + 11 + 321 + 1 + 330 + 0 + 0 + 0 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 127106099524 + ... + 127106100476.

It is an arithmetic number, because the mean of its divisors is an integer number (280262417526).

Almost surely, 2^{121132113300000} is an apocalyptic number.

121132113300000 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 121132113300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242146728742464).

121132113300000 is an abundant number, since it is smaller than the sum of its proper divisors (363161344184928).

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

121132113300000 is a wasteful number, since it uses less digits than its factorization.

121132113300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121132113300000 its reverse (3311231121), we get a palindrome (121135424531121).

The spelling of 121132113300000 in words is "one hundred twenty-one trillion, one hundred thirty-two billion, one hundred thirteen million, three hundred thousand".