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200121220210120 = 235113613901313967
BaseRepresentation
bin101101100000001001011010…
…001111100001110111001000
3222020120101211220211202200021
4231200021122033201313020
5202212241224333210440
61545342230331150224
760103165252151026
oct5540113217416710
9866511756752607
10200121220210120
1158845a29728390
121a5409bb8a5374
1387884721c5671
14375bcc103b716
15182092b22384a
hexb6025a3e1dc8

200121220210120 has 128 divisors (see below), whose sum is σ = 491432284362240. Its totient is φ = 72737931248640.

The previous prime is 200121220210103. The next prime is 200121220210151. The reversal of 200121220210120 is 21012022121002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 200121220210094 and 200121220210103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14328139377 + ... + 14328153343.

It is an arithmetic number, because the mean of its divisors is an integer number (3839314721580).

Almost surely, 2200121220210120 is an apocalyptic number.

200121220210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200121220210120 is an abundant number, since it is smaller than the sum of its proper divisors (291311064152120).

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

200121220210120 is a wasteful number, since it uses less digits than its factorization.

200121220210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26615 (or 26611 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200121220210120 its reverse (21012022121002), we get a palindrome (221133242331122).

The spelling of 200121220210120 in words is "two hundred trillion, one hundred twenty-one billion, two hundred twenty million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 3613 7226 9013 13967 14452 18026 18065 27934 28904 36052 36130 39743 45065 55868 69835 72104 72260 79486 90130 99143 111736 139670 144520 153637 158972 180260 198286 198715 279340 307274 317944 360520 396572 397430 495715 558680 614548 768185 793144 794860 991430 1229096 1536370 1589720 1982860 3072740 3965720 6145480 32563969 50462771 65127938 100925542 125884571 130255876 162819845 201851084 251769142 252313855 260511752 325639690 358203659 403702168 503538284 504627710 555090481 629422855 651279380 716407318 1007076568 1009255420 1110180962 1258845710 1302558760 1384730281 1432814636 1791018295 2018510840 2220361924 2517691420 2769460562 2775452405 2865629272 3582036590 4440723848 5035382840 5538921124 5550904810 6923651405 7164073180 11077842248 11101809620 13847302810 14328146360 22203619240 27694605620 55389211240 454820955023 909641910046 1819283820092 2274104775115 3638567640184 4548209550230 5003030505253 9096419100460 10006061010506 18192838200920 20012122021012 25015152526265 40024244042024 50030305052530 100060610105060 200121220210120