36120427200 has 840 divisors, whose sum is σ = 156061105200. Its totient is φ = 8078745600.

The previous prime is 36120427183. The next prime is 36120427237. The reversal of 36120427200 is 272402163.

36120427200 is a `hidden beast` number, since 3 + 612 + 0 + 4 + 27 + 20 + 0 = 666.

It is a super-2 number, since 2×36120427200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18531826 + ... + 18533774.

It is an arithmetic number, because the mean of its divisors is an integer number (185787030).

Almost surely, 2^36120427200 is an apocalyptic number.

36120427200 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 36120427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78030552600).

36120427200 is an abundant number, since it is smaller than the sum of its proper divisors (119940678000).

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

36120427200 is a wasteful number, since it uses less digits than its factorization.

36120427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 36120427200 its reverse (272402163), we get a palindrome (36392829363).

The spelling of 36120427200 in words is "thirty-six billion, one hundred twenty million, four hundred twenty-seven thousand, two hundred".