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201200210022120 = 23355995851478399
BaseRepresentation
bin101101101111110110010011…
…000011000000111011101000
3222101101112220120112101201220
4231233312103003000323220
5202332431012231201440
61551530033411342040
760244143524216121
oct5557662303007350
9871345816471656
10201200210022120
1159121591308141
121a695b472b1920
13883613822c81a
1437981dbdbd048
15183da2c4138d0
hexb6fd930c0ee8

201200210022120 has 128 divisors (see below), whose sum is σ = 604712908800000. Its totient is φ = 53554551148800.

The previous prime is 201200210022041. The next prime is 201200210022131. The reversal of 201200210022120 is 21220012002102.

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 201200210022120.

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, 420330681 + ... + 420809079.

It is an arithmetic number, because the mean of its divisors is an integer number (4724319600000).

Almost surely, 2201200210022120 is an apocalyptic number.

201200210022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201200210022120 is an abundant number, since it is smaller than the sum of its proper divisors (403512698777880).

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

201200210022120 is a wasteful number, since it uses less digits than its factorization.

201200210022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484863 (or 484859 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201200210022120 its reverse (21220012002102), we get a palindrome (222420222024222).

The spelling of 201200210022120 in words is "two hundred one trillion, two hundred billion, two hundred ten million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 599 1198 1797 2396 2995 3594 4792 5851 5990 7188 8985 11702 11980 14376 17553 17970 23404 23960 29255 35106 35940 46808 58510 70212 71880 87765 117020 140424 175530 234040 351060 478399 702120 956798 1435197 1913596 2391995 2870394 3504749 3827192 4783990 5740788 7009498 7175985 9567980 10514247 11481576 14018996 14351970 17523745 19135960 21028494 28037992 28703940 35047490 42056988 52571235 57407880 70094980 84113976 105142470 140189960 210284940 286561001 420569880 573122002 859683003 1146244004 1432805005 1719366006 2292488008 2799112549 2865610010 3438732012 4298415015 5598225098 5731220020 6877464024 8397337647 8596830030 11196450196 11462440040 13995562745 16794675294 17193660060 22392900392 27991125490 33589350588 34387320120 41986688235 55982250980 67178701176 83973376470 111964501960 167946752940 335893505880 1676668416851 3353336833702 5030005250553 6706673667404 8383342084255 10060010501106 13413347334808 16766684168510 20120021002212 25150026252765 33533368337020 40240042004424 50300052505530 67066736674040 100600105011060 201200210022120