200301213024 has 144 divisors (see below), whose sum is σ = 623085765120. Its totient is φ = 60531598080.

The previous prime is 200301213017. The next prime is 200301213029. The reversal of 200301213024 is 420312103002.

200301213024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 200301212988 and 200301213006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200301213029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1076517 + ... + 1248795.

It is an arithmetic number, because the mean of its divisors is an integer number (4326984480).

Almost surely, 2^200301213024 is an apocalyptic number.

200301213024 is a gapful number since it is divisible by the number (24) 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 200301213024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311542882560).

200301213024 is an abundant number, since it is smaller than the sum of its proper divisors (422784552096).

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

200301213024 is a wasteful number, since it uses less digits than its factorization.

200301213024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172673 (or 172662 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 200301213024 its reverse (420312103002), we get a palindrome (620613316026).

The spelling of 200301213024 in words is "two hundred billion, three hundred one million, two hundred thirteen thousand, twenty-four".