200120313424032 has 72 divisors (see below), whose sum is σ = 569143085038164. Its totient is φ = 66700799714304.

The previous prime is 200120313423997. The next prime is 200120313424037. The reversal of 200120313424032 is 230424313021002.

200120313424032 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 203 + 1 + 3 + 424 + 0 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 184441279399056 + 15679034024976 = 13580916^2 + 3959676^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×200120313424032³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200120313423987 and 200120313424005.

It is not an unprimeable number, because it can be changed into a prime (200120313424037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27877773 + ... + 34313420.

Almost surely, 2^{200120313424032} is an apocalyptic number.

It is an amenable number.

200120313424032 is an abundant number, since it is smaller than the sum of its proper divisors (369022771614132).

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

200120313424032 is a wasteful number, since it uses less digits than its factorization.

200120313424032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62202382 (or 62202371 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 200120313424032 its reverse (230424313021002), we get a palindrome (430544626445034).

The spelling of 200120313424032 in words is "two hundred trillion, one hundred twenty billion, three hundred thirteen million, four hundred twenty-four thousand, thirty-two".