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20210120120200 = 2352293484503469
BaseRepresentation
bin1001001100001100010010…
…00001111101011110001000
32122120001212000112120012211
410212012021001331132020
510122110311222321300
6110552222341314504
74154063421412333
oct446061101753610
978501760476184
1020210120120200
116492077a2733a
122324a34405a34
13b37a63159bca
144dc26440d61a
15250aa19e44ba
hex12618907d788

20210120120200 has 48 divisors (see below), whose sum is σ = 48608823406500. Its totient is φ = 7805287768320.

The previous prime is 20210120120149. The next prime is 20210120120209. The reversal of 20210120120200 is 202102101202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6532859954916 + 13677260165284 = 2555946^2 + 3698278^2 .

It is not an unprimeable number, because it can be changed into a prime (20210120120209) 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 11 ways as a sum of consecutive naturals, for example, 1742245935 + ... + 1742257534.

Almost surely, 220210120120200 is an apocalyptic number.

20210120120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20210120120200 is an abundant number, since it is smaller than the sum of its proper divisors (28398703286300).

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

20210120120200 is a wasteful number, since it uses less digits than its factorization.

20210120120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484503514 (or 3484503505 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20210120120200 its reverse (202102101202), we get a palindrome (20412222221402).

The spelling of 20210120120200 in words is "twenty trillion, two hundred ten billion, one hundred twenty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 3484503469 6969006938 13938013876 17422517345 27876027752 34845034690 69690069380 87112586725 101050600601 139380138760 174225173450 202101201202 348450346900 404202402404 505253003005 696900693800 808404804808 1010506006010 2021012012020 2526265015025 4042024024040 5052530030050 10105060060100 20210120120200