20144229120 has 288 divisors, whose sum is σ = 72190809600. Its totient is φ = 5318701056.

The previous prime is 20144229107. The next prime is 20144229121. The reversal of 20144229120 is 2192244102.

20144229120 is a `hidden beast` number, since 201 + 442 + 2 + 9 + 12 + 0 = 666.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (20144229121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3556851 + ... + 3562509.

Almost surely, 2^20144229120 is an apocalyptic number.

20144229120 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 20144229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36095404800).

20144229120 is an abundant number, since it is smaller than the sum of its proper divisors (52046580480).

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

20144229120 is a wasteful number, since it uses less digits than its factorization.

20144229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5792 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 20144229120 in words is "twenty billion, one hundred forty-four million, two hundred twenty-nine thousand, one hundred twenty".