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12111210202120 = 2355317473270083
BaseRepresentation
bin1011000000111101110001…
…1000011100010000001000
31120212211011001200201101021
42300033130120130100020
53041412224302431440
641431451350402224
72360002036102021
oct260173430342010
946784131621337
1012111210202120
11394a376469757
121437297960374
1369b10b843803
142dc2857c9c48
151600913bb84a
hexb03dc61c408

12111210202120 has 64 divisors (see below), whose sum is σ = 27780279203520. Its totient is φ = 4750356559104.

The previous prime is 12111210202111. The next prime is 12111210202213. The reversal of 12111210202120 is 2120201211121.

It is a junction number, because it is equal to n+sod(n) for n = 12111210202094 and 12111210202103.

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 15 ways as a sum of consecutive naturals, for example, 2068599 + ... + 5338681.

It is an arithmetic number, because the mean of its divisors is an integer number (434066862555).

Almost surely, 212111210202120 is an apocalyptic number.

12111210202120 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 12111210202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13890139601760).

12111210202120 is an abundant number, since it is smaller than the sum of its proper divisors (15669069001400).

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

12111210202120 is a wasteful number, since it uses less digits than its factorization.

12111210202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271894 (or 3271890 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12111210202120 its reverse (2120201211121), we get a palindrome (14231411413241).

The spelling of 12111210202120 in words is "twelve trillion, one hundred eleven billion, two hundred ten million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 1747 2120 3494 6988 8735 13976 17470 34940 69880 92591 185182 370364 462955 740728 925910 1851820 3270083 3703640 6540166 13080332 16350415 26160664 32700830 65401660 130803320 173314399 346628798 693257596 866571995 1386515192 1733143990 3466287980 5712835001 6932575960 11425670002 22851340004 28564175005 45702680008 57128350010 114256700020 228513400040 302780255053 605560510106 1211121020212 1513901275265 2422242040424 3027802550530 6055605101060 12111210202120