121014305301330 has 384 divisors, whose sum is σ = 368087383572480. Its totient is φ = 27014599664640.

The previous prime is 121014305301319. The next prime is 121014305301377. The reversal of 121014305301330 is 33103503410121.

121014305301330 is a `hidden beast` number, since 1 + 2 + 10 + 14 + 3 + 0 + 5 + 301 + 330 = 666.

It is a super-2 number, since 2×121014305301330² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121014305301294 and 121014305301303.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2935296177 + ... + 2935337403.

It is an arithmetic number, because the mean of its divisors is an integer number (958560894720).

Almost surely, 2^{121014305301330} is an apocalyptic number.

121014305301330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121014305301330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184043691786240).

121014305301330 is an abundant number, since it is smaller than the sum of its proper divisors (247073078271150).

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

121014305301330 is a wasteful number, since it uses less digits than its factorization.

121014305301330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41934 (or 41931 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 121014305301330 its reverse (33103503410121), we get a palindrome (154117808711451).

The spelling of 121014305301330 in words is "one hundred twenty-one trillion, fourteen billion, three hundred five million, three hundred one thousand, three hundred thirty".