36213120 has 96 divisors (see below), whose sum is σ = 125068320. Its totient is φ = 9655296.

The previous prime is 36213113. The next prime is 36213139. The reversal of 36213120 is 2131263.

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

It is a super-2 number, since 2×36213120² = 2622780120268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 36213093 and 36213102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2617 + ... + 8903.

It is an arithmetic number, because the mean of its divisors is an integer number (1302795).

Almost surely, 2^36213120 is an apocalyptic number.

36213120 is a gapful number since it is divisible by the number (30) 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 36213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62534160).

36213120 is an abundant number, since it is smaller than the sum of its proper divisors (88855200).

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

36213120 is a wasteful number, since it uses less digits than its factorization.

36213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 36213120 is about 6017.7337927163. The cubic root of 36213120 is about 330.8430236270.

Adding to 36213120 its reverse (2131263), we get a palindrome (38344383).

The spelling of 36213120 in words is "thirty-six million, two hundred thirteen thousand, one hundred twenty".