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201212111200 = 2552614123199
BaseRepresentation
bin1011101101100100101…
…1010010100101100000
3201020100211002022110211
42323121023102211200
511244040300024300
6232234025503504
720352136503622
oct2733113224540
9636324068424
10201212111200
1178373a9a2a1
1232bb5641b94
1315c88494139
149a4b084c12
155379aa34ba
hex2ed92d2960

201212111200 has 72 divisors (see below), whose sum is σ = 499261795200. Its totient is φ = 79165401600.

The previous prime is 201212111183. The next prime is 201212111209. The reversal of 201212111200 is 2111212102.

It is a super-2 number, since 2×2012121112002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201212111209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2012800 + ... + 2110399.

It is an arithmetic number, because the mean of its divisors is an integer number (6934191600).

Almost surely, 2201212111200 is an apocalyptic number.

201212111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201212111200 is an abundant number, since it is smaller than the sum of its proper divisors (298049684000).

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

201212111200 is a wasteful number, since it uses less digits than its factorization.

201212111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4123280 (or 4123267 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201212111200 its reverse (2111212102), we get a palindrome (203323323302).

The spelling of 201212111200 in words is "two hundred one billion, two hundred twelve million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 160 200 244 305 400 488 610 800 976 1220 1525 1952 2440 3050 4880 6100 9760 12200 24400 48800 4123199 8246398 16492796 20615995 32985592 41231990 65971184 82463980 103079975 131942368 164927960 206159950 251515139 329855920 412319900 503030278 659711840 824639800 1006060556 1257575695 1649279600 2012121112 2515151390 3298559200 4024242224 5030302780 6287878475 8048484448 10060605560 12575756950 20121211120 25151513900 40242422240 50303027800 100606055600 201212111200