220129395200 has 810 divisors, whose sum is σ = 672292417797. Its totient is φ = 71341670400.

The previous prime is 220129395193. The next prime is 220129395251. The reversal of 220129395200 is 2593921022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 52108105984 + 168021289216 = 228272^2 + 409904^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=331760.

It is a super-4 number, since 4×220129395200⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 7590668786 + ... + 7590668814.

Almost surely, 2^220129395200 is an apocalyptic number.

220129395200 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 220129395200

220129395200 is an abundant number, since it is smaller than the sum of its proper divisors (452163022597).

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

220129395200 is a wasteful number, since it uses less digits than its factorization.

220129395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 220129395200 in words is "two hundred twenty billion, one hundred twenty-nine million, three hundred ninety-five thousand, two hundred".