200024432013120 has 896 divisors, whose sum is σ = 763343550402048. Its totient is φ = 43733562163200.

The previous prime is 200024432013101. The next prime is 200024432013163. The reversal of 200024432013120 is 21310234420002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1753420404 + ... + 1753534476.

It is an arithmetic number, because the mean of its divisors is an integer number (851945926788).

Almost surely, 2^{200024432013120} is an apocalyptic number.

200024432013120 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 200024432013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381671775201024).

200024432013120 is an abundant number, since it is smaller than the sum of its proper divisors (563319118388928).

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

200024432013120 is a wasteful number, since it uses less digits than its factorization.

200024432013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114411 (or 114401 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 200024432013120 its reverse (21310234420002), we get a palindrome (221334666433122).

The spelling of 200024432013120 in words is "two hundred trillion, twenty-four billion, four hundred thirty-two million, thirteen thousand, one hundred twenty".