121823083938816 has 704 divisors, whose sum is σ = 392238203535360. Its totient is φ = 37127605616640.

The previous prime is 121823083938797. The next prime is 121823083938817. The reversal of 121823083938816 is 618839380328121.

121823083938816 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 230 + 8 + 3 + 9 + 388 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (121823083938817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33185256661 + ... + 33185260331.

Almost surely, 2^{121823083938816} is an apocalyptic number.

121823083938816 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 121823083938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196119101767680).

121823083938816 is an abundant number, since it is smaller than the sum of its proper divisors (270415119596544).

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

121823083938816 is a wasteful number, since it uses less digits than its factorization.

121823083938816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 121823083938816 in words is "one hundred twenty-one trillion, eight hundred twenty-three billion, eighty-three million, nine hundred thirty-eight thousand, eight hundred sixteen".