Search a number
-
+
200021121121200 = 243524493389109541
BaseRepresentation
bin101101011110101100001011…
…110111110011101110110000
3222020012211110211202011222120
4231132230023313303232300
5202204121224001334300
61545224233504234240
760063022563013401
oct5536541367635660
9866184424664876
10200021121121200
1158807532373315
121a52552490b980
13877bbac001032
143757106b859a8
15181d01d4643a0
hexb5eb0bdf3bb0

200021121121200 has 240 divisors, whose sum is σ = 642356697924000. Its totient is φ = 53203981107200.

The previous prime is 200021121121177. The next prime is 200021121121207. The reversal of 200021121121200 is 2121121120002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200021121121200.

It is not an unprimeable number, because it can be changed into a prime (200021121121207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1825938430 + ... + 1826047970.

It is an arithmetic number, because the mean of its divisors is an integer number (2676486241350).

Almost surely, 2200021121121200 is an apocalyptic number.

200021121121200 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 200021121121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321178348962000).

200021121121200 is an abundant number, since it is smaller than the sum of its proper divisors (442335576802800).

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

200021121121200 is a wasteful number, since it uses less digits than its factorization.

200021121121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113400 (or 113389 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 200021121121200 its reverse (2121121120002), we get a palindrome (202142242241202).

The spelling of 200021121121200 in words is "two hundred trillion, twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred".