36112461120 has 448 divisors, whose sum is σ = 133187846400. Its totient is φ = 9199411200.

The previous prime is 36112461109. The next prime is 36112461127. The reversal of 36112461120 is 2116421163.

It is a happy number.

36112461120 is a `hidden beast` number, since 3 + 6 + 1 + 1 + 24 + 611 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36112461127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25305847 + ... + 25307273.

It is an arithmetic number, because the mean of its divisors is an integer number (297294300).

Almost surely, 2^36112461120 is an apocalyptic number.

36112461120 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 36112461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66593923200).

36112461120 is an abundant number, since it is smaller than the sum of its proper divisors (97075385280).

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

36112461120 is a wasteful number, since it uses less digits than its factorization.

36112461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 36112461120 its reverse (2116421163), we get a palindrome (38228882283).

The spelling of 36112461120 in words is "thirty-six billion, one hundred twelve million, four hundred sixty-one thousand, one hundred twenty".