36126301200 has 240 divisors, whose sum is σ = 126413784000. Its totient is φ = 8746188800.

The previous prime is 36126301171. The next prime is 36126301201. The reversal of 36126301200 is 210362163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (36126301201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13845496 + ... + 13848104.

It is an arithmetic number, because the mean of its divisors is an integer number (526724100).

Almost surely, 2^36126301200 is an apocalyptic number.

36126301200 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 36126301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63206892000).

36126301200 is an abundant number, since it is smaller than the sum of its proper divisors (90287482800).

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

36126301200 is a wasteful number, since it uses less digits than its factorization.

36126301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3690 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 36126301200 its reverse (210362163), we get a palindrome (36336663363).

The spelling of 36126301200 in words is "thirty-six billion, one hundred twenty-six million, three hundred one thousand, two hundred".