36127407120 has 480 divisors, whose sum is σ = 137151221760. Its totient is φ = 7703700480.

The previous prime is 36127407109. The next prime is 36127407131. The reversal of 36127407120 is 2170472163.

It is an interprime number because it is at equal distance from previous prime (36127407109) and next prime (36127407131).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43059661 + ... + 43060499.

It is an arithmetic number, because the mean of its divisors is an integer number (285731712).

Almost surely, 2^36127407120 is an apocalyptic number.

36127407120 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 36127407120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68575610880).

36127407120 is an abundant number, since it is smaller than the sum of its proper divisors (101023814640).

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

36127407120 is a wasteful number, since it uses less digits than its factorization.

36127407120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

Adding to 36127407120 its reverse (2170472163), we get a palindrome (38297879283).

The spelling of 36127407120 in words is "thirty-six billion, one hundred twenty-seven million, four hundred seven thousand, one hundred twenty".