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201212121122010 = 23253760424060397
BaseRepresentation
bin101101110000000001011001…
…000000010000010011011010
3222101102200122200100222001200
4231300001121000100103122
5202333124411001401020
61551535323343455030
760245044636000635
oct5560013100202332
9871380580328050
10201212121122010
1159126643869849
121a6983102b7476
1388372b5b38c1b
143798a0bc98c1c
15183dec7e73590
hexb700590104da

201212121122010 has 48 divisors (see below), whose sum is σ = 537290745059016. Its totient is φ = 52206388182144.

The previous prime is 201212121121997. The next prime is 201212121122053. The reversal of 201212121122010 is 10221121212102.

201212121122010 is a `hidden beast` number, since 20 + 1 + 212 + 1 + 211 + 220 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 152490366992601 + 48721754129409 = 12348699^2 + 6980097^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30212026869 + ... + 30212033528.

Almost surely, 2201212121122010 is an apocalyptic number.

201212121122010 is an abundant number, since it is smaller than the sum of its proper divisors (336078623937006).

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

201212121122010 is a wasteful number, since it uses less digits than its factorization.

201212121122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60424060447 (or 60424060444 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201212121122010 its reverse (10221121212102), we get a palindrome (211433242334112).

The spelling of 201212121122010 in words is "two hundred one trillion, two hundred twelve billion, one hundred twenty-one million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 60424060397 120848120794 181272181191 302120301985 362544362382 543816543573 604240603970 906360905955 1087633087146 1812721811910 2235690234689 2719082717865 4471380469378 5438165435730 6707070704067 11178451173445 13414141408134 20121212112201 22356902346890 33535353520335 40242424224402 67070707040670 100606060561005 201212121122010