121330203012 has 144 divisors (see below), whose sum is σ = 319574389680. Its totient is φ = 38779969536.

The previous prime is 121330202951. The next prime is 121330203053. The reversal of 121330203012 is 210302033121.

121330203012 is a `hidden beast` number, since 12 + 1 + 330 + 20 + 301 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2156116356 + 119174086656 = 46434^2 + 345216^2 .

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39949158 + ... + 39952194.

It is an arithmetic number, because the mean of its divisors is an integer number (2219266595).

Almost surely, 2^121330203012 is an apocalyptic number.

121330203012 is a gapful number since it is divisible by the number (12) 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 121330203012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159787194840).

121330203012 is an abundant number, since it is smaller than the sum of its proper divisors (198244186668).

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

121330203012 is a wasteful number, since it uses less digits than its factorization.

121330203012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 121330203012 its reverse (210302033121), we get a palindrome (331632236133).

The spelling of 121330203012 in words is "one hundred twenty-one billion, three hundred thirty million, two hundred three thousand, twelve".