20116232120772 has 144 divisors (see below), whose sum is σ = 53683507550400. Its totient is φ = 6333773149440.

The previous prime is 20116232120749. The next prime is 20116232120819. The reversal of 20116232120772 is 27702123261102.

20116232120772 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 62 + 321 + 207 + 72 = 666.

It is a super-3 number, since 3×20116232120772³ (a number of 41 digits) contains 333 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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687273354 + ... + 687302622.

Almost surely, 2^{20116232120772} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20116232120772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26841753775200).

20116232120772 is an abundant number, since it is smaller than the sum of its proper divisors (33567275429628).

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

20116232120772 is a wasteful number, since it uses less digits than its factorization.

20116232120772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32226 (or 32221 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 20116232120772 its reverse (27702123261102), we get a palindrome (47818355381874).

The spelling of 20116232120772 in words is "twenty trillion, one hundred sixteen billion, two hundred thirty-two million, one hundred twenty thousand, seven hundred seventy-two".