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201212120112 = 24331313432023
BaseRepresentation
bin1011101101100100101…
…1010100110000110000
3201020100211002202200220
42323121023110300300
511244040300320422
6232234030013040
720352136541613
oct2733113246060
9636324082626
10201212120112
1178373aa5a63
1232bb5647180
1315c88498203
149a4b08817a
155379aa5e5c
hex2ed92d4c30

201212120112 has 80 divisors (see below), whose sum is σ = 538281166848. Its totient is φ = 64699614720.

The previous prime is 201212120111. The next prime is 201212120117. The reversal of 201212120112 is 211021212102.

It is a junction number, because it is equal to n+sod(n) for n = 201212120091 and 201212120100.

It is not an unprimeable number, because it can be changed into a prime (201212120111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249733 + ... + 681755.

Almost surely, 2201212120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201212120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269140583424).

201212120112 is an abundant number, since it is smaller than the sum of its proper divisors (337069046736).

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

201212120112 is a wasteful number, since it uses less digits than its factorization.

201212120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432378 (or 432372 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201212120112 its reverse (211021212102), we get a palindrome (412233332214).

The spelling of 201212120112 in words is "two hundred one billion, two hundred twelve million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 313 372 496 626 744 939 1252 1488 1878 2504 3756 5008 7512 9703 15024 19406 29109 38812 58218 77624 116436 155248 232872 432023 465744 864046 1296069 1728092 2592138 3456184 5184276 6912368 10368552 13392713 20737104 26785426 40178139 53570852 80356278 107141704 135223199 160712556 214283408 270446398 321425112 405669597 540892796 642850224 811339194 1081785592 1622678388 2163571184 3245356776 4191919169 6490713552 8383838338 12575757507 16767676676 25151515014 33535353352 50303030028 67070706704 100606060056 201212120112