36121320 has 96 divisors (see below), whose sum is σ = 118146600. Its totient is φ = 9570816.

The previous prime is 36121307. The next prime is 36121331. The reversal of 36121320 is 2312163.

It can be written as a sum of positive squares in 4 ways, for example, as 20958084 + 15163236 = 4578^2 + 3894^2 .

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 = 36121293 and 36121302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96654 + ... + 97026.

Almost surely, 2^36121320 is an apocalyptic number.

36121320 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 36121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59073300).

36121320 is an abundant number, since it is smaller than the sum of its proper divisors (82025280).

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

36121320 is a wasteful number, since it uses less digits than its factorization.

36121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 652 counting only the distinct ones).

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

The square root of 36121320 is about 6010.1014966471. The cubic root of 36121320 is about 330.5632254992.

Adding to 36121320 its reverse (2312163), we get a palindrome (38433483).

The spelling of 36121320 in words is "thirty-six million, one hundred twenty-one thousand, three hundred twenty".