36121600 has 132 divisors (see below), whose sum is σ = 95946984. Its totient is φ = 13434880.

The previous prime is 36121543. The next prime is 36121609. The reversal of 36121600 is 612163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36121609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435159 + ... + 435241.

Almost surely, 2^36121600 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 36121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47973492).

36121600 is an abundant number, since it is smaller than the sum of its proper divisors (59825384).

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

36121600 is a wasteful number, since it uses less digits than its factorization.

36121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 36121600 is about 6010.1247907177. The cubic root of 36121600 is about 330.5640796344.

Adding to 36121600 its reverse (612163), we get a palindrome (36733763).

The spelling of 36121600 in words is "thirty-six million, one hundred twenty-one thousand, six hundred".