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12020102120 = 23513291575077
BaseRepresentation
bin10110011000111010…
…00011001111101000
31011000200221110021102
423030131003033220
5144104121231440
65304424300532
7603604116335
oct131435031750
934020843242
1012020102120
1151090416a4
1223b5611748
131197382580
1482057198c
154a53e1b15
hex2cc7433e8

12020102120 has 128 divisors (see below), whose sum is σ = 30327847200. Its totient is φ = 4257017856.

The previous prime is 12020102057. The next prime is 12020102147. The reversal of 12020102120 is 2120102021.

It is a happy number.

12020102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1339706404 + 10680395716 = 36602^2 + 103346^2 .

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 31 ways as a sum of consecutive naturals, for example, 2365022 + ... + 2370098.

Almost surely, 212020102120 is an apocalyptic number.

12020102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163923600).

12020102120 is an abundant number, since it is smaller than the sum of its proper divisors (18307745080).

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

12020102120 is a wasteful number, since it uses less digits than its factorization.

12020102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287 (or 5283 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12020102120 its reverse (2120102021), we get a palindrome (14140204141).

Subtracting from 12020102120 its reverse (2120102021), we obtain a palindrome (9900000099).

The spelling of 12020102120 in words is "twelve billion, twenty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 157 232 260 290 314 377 520 580 628 754 785 1160 1256 1508 1570 1885 2041 3016 3140 3770 4082 4553 5077 6280 7540 8164 9106 10154 10205 15080 16328 18212 20308 20410 22765 25385 36424 40616 40820 45530 50770 59189 66001 81640 91060 101540 118378 132002 147233 182120 203080 236756 264004 294466 295945 330005 473512 528008 588932 591890 660010 736165 797089 1177864 1183780 1320020 1472330 1594178 1914029 2367560 2640040 2944660 3188356 3828058 3985445 5889320 6376712 7656116 7970890 9570145 10362157 15312232 15941780 19140290 20724314 23115581 31883560 38280580 41448628 46231162 51810785 76561160 82897256 92462324 103621570 115577905 184924648 207243140 231155810 300502553 414486280 462311620 601005106 924623240 1202010212 1502512765 2404020424 3005025530 6010051060 12020102120