121416184656 has 160 divisors (see below), whose sum is σ = 375479301120. Its totient is φ = 37342757376.

The previous prime is 121416184621. The next prime is 121416184657. The reversal of 121416184656 is 656481614121.

121416184656 is a `hidden beast` number, since 1 + 2 + 1 + 416 + 184 + 6 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121416184657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25814401 + ... + 25819103.

It is an arithmetic number, because the mean of its divisors is an integer number (2346745632).

Almost surely, 2^121416184656 is an apocalyptic number.

121416184656 is a gapful number since it is divisible by the number (16) 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 121416184656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187739650560).

121416184656 is an abundant number, since it is smaller than the sum of its proper divisors (254063116464).

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

121416184656 is a wasteful number, since it uses less digits than its factorization.

121416184656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9330 (or 9318 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

Adding to 121416184656 its reverse (656481614121), we get a palindrome (777897798777).

The spelling of 121416184656 in words is "one hundred twenty-one billion, four hundred sixteen million, one hundred eighty-four thousand, six hundred fifty-six".