20012131200 has 192 divisors, whose sum is σ = 67449254400. Its totient is φ = 5212354560.

The previous prime is 20012131199. The next prime is 20012131219. The reversal of 20012131200 is 213121002.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388561 + ... + 437039.

It is an arithmetic number, because the mean of its divisors is an integer number (351298200).

Almost surely, 2^20012131200 is an apocalyptic number.

20012131200 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 20012131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33724627200).

20012131200 is an abundant number, since it is smaller than the sum of its proper divisors (47437123200).

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

20012131200 is a wasteful number, since it uses less digits than its factorization.

20012131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48549 (or 48532 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20012131200 its reverse (213121002), we get a palindrome (20225252202).

The spelling of 20012131200 in words is "twenty billion, twelve million, one hundred thirty-one thousand, two hundred".