36122016 has 96 divisors (see below), whose sum is σ = 110678400. Its totient is φ = 10311168.

The previous prime is 36122011. The next prime is 36122033. The reversal of 36122016 is 61022163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 36121983 and 36122001.

It is not an unprimeable number, because it can be changed into a prime (36122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32380 + ... + 33476.

It is an arithmetic number, because the mean of its divisors is an integer number (1152900).

Almost surely, 2^36122016 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 36122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55339200).

36122016 is an abundant number, since it is smaller than the sum of its proper divisors (74556384).

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

36122016 is a wasteful number, since it uses less digits than its factorization.

36122016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 36122016 is about 6010.1593988845. The cubic root of 36122016 is about 330.5653486269.

Adding to 36122016 its reverse (61022163), we get a palindrome (97144179).

The spelling of 36122016 in words is "thirty-six million, one hundred twenty-two thousand, sixteen".