121484314116 has 81 divisors (see below), whose sum is σ = 337604023029. Its totient is φ = 36806457600.

The previous prime is 121484314109. The next prime is 121484314139. The reversal of 121484314116 is 611413484121.

The square root of 121484314116 is 348546.

It is a perfect power (a square), and thus also a powerful number.

121484314116 is a `hidden beast` number, since 1 + 21 + 484 + 3 + 141 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16041235716 + 105443078400 = 126654^2 + 324720^2 .

It is a super-2 number, since 2×121484314116² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23001396 + ... + 23006676.

Almost surely, 2^121484314116 is an apocalyptic number.

121484314116 is the 348546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121484314116

121484314116 is an abundant number, since it is smaller than the sum of its proper divisors (216119708913).

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

121484314116 is an equidigital number, since it uses as much as digits as its factorization.

121484314116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10594 (or 5297 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

Multiplying 121484314116 by its sum of digits (36), we get a square (4373435308176 = 2091276²).

121484314116 divided by its sum of digits (36) gives a square (3374564281 = 58091²).

Adding to 121484314116 its reverse (611413484121), we get a palindrome (732897798237).

It can be divided in two parts, 121484 and 314116, that added together give a square (435600 = 660²).

The spelling of 121484314116 in words is "one hundred twenty-one billion, four hundred eighty-four million, three hundred fourteen thousand, one hundred sixteen".