200021013312120 has 1152 divisors, whose sum is σ = 903200306037120. Its totient is φ = 37328731545600.

The previous prime is 200021013312077. The next prime is 200021013312121. The reversal of 200021013312120 is 21213310120002.

200021013312120 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 210 + 1 + 331 + 2 + 120 = 666.

200021013312120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 200021013312093 and 200021013312102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200021013312121) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 145984630 + ... + 147348410.

It is an arithmetic number, because the mean of its divisors is an integer number (784028043435).

Almost surely, 2^{200021013312120} is an apocalyptic number.

200021013312120 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 200021013312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451600153018560).

200021013312120 is an abundant number, since it is smaller than the sum of its proper divisors (703179292725000).

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

200021013312120 is a wasteful number, since it uses less digits than its factorization.

200021013312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363877 (or 1363859 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200021013312120 its reverse (21213310120002), we get a palindrome (221234323432122).

The spelling of 200021013312120 in words is "two hundred trillion, twenty-one billion, thirteen million, three hundred twelve thousand, one hundred twenty".