20013036120 has 640 divisors, whose sum is σ = 84831183360. Its totient is φ = 4110704640.

The previous prime is 20013036083. The next prime is 20013036133. The reversal of 20013036120 is 2163031002.

20013036120 is a `hidden beast` number, since 20 + 0 + 1 + 30 + 3 + 612 + 0 = 666.

It is a super-2 number, since 2×20013036120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20013036093 and 20013036102.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 24199147 + ... + 24199973.

It is an arithmetic number, because the mean of its divisors is an integer number (132548724).

Almost surely, 2^20013036120 is an apocalyptic number.

20013036120 is a gapful number since it is divisible by the number (20) 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 20013036120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42415591680).

20013036120 is an abundant number, since it is smaller than the sum of its proper divisors (64818147240).

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

20013036120 is a wasteful number, since it uses less digits than its factorization.

20013036120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20013036120 its reverse (2163031002), we get a palindrome (22176067122).

The spelling of 20013036120 in words is "twenty billion, thirteen million, thirty-six thousand, one hundred twenty".