20120371200 has 288 divisors, whose sum is σ = 72100951650. Its totient is φ = 5363466240.

The previous prime is 20120371177. The next prime is 20120371217. The reversal of 20120371200 is 217302102.

It can be written as a sum of positive squares in 3 ways, for example, as 19004276736 + 1116094464 = 137856^2 + 33408^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7371436 + ... + 7374164.

Almost surely, 2^20120371200 is an apocalyptic number.

20120371200 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 20120371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36050475825).

20120371200 is an abundant number, since it is smaller than the sum of its proper divisors (51980580450).

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

20120371200 is an equidigital number, since it uses as much as digits as its factorization.

20120371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 20120371200 its reverse (217302102), we get a palindrome (20337673302).

The spelling of 20120371200 in words is "twenty billion, one hundred twenty million, three hundred seventy-one thousand, two hundred".