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12100201122012 = 22331109298416719
BaseRepresentation
bin1011000000010100110000…
…1100001000100011011100
31120211202201211011111120120
42300011030030020203130
53041222202441401022
641422431115514540
72356132156340403
oct260051414104334
946752654144516
1012100201122012
113945737099943
121435124a58a50
1369a075a8a223
142db91d63463a
1515eb49b36d5c
hexb014c3088dc

12100201122012 has 48 divisors (see below), whose sum is σ = 29411951923200. Its totient is φ = 3867480665280.

The previous prime is 12100201122007. The next prime is 12100201122029. The reversal of 12100201122012 is 21022110200121.

It is a junction number, because it is equal to n+sod(n) for n = 12100201121982 and 12100201122000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149167812 + ... + 149248907.

It is an arithmetic number, because the mean of its divisors is an integer number (612748998400).

Almost surely, 212100201122012 is an apocalyptic number.

12100201122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12100201122012 is an abundant number, since it is smaller than the sum of its proper divisors (17311750801188).

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

12100201122012 is a wasteful number, since it uses less digits than its factorization.

12100201122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298416866 (or 298416864 counting only the distinct ones).

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

Adding to 12100201122012 its reverse (21022110200121), we get a palindrome (33122311322133).

The spelling of 12100201122012 in words is "twelve trillion, one hundred billion, two hundred one million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 93 109 124 186 218 327 372 436 654 1308 3379 6758 10137 13516 20274 40548 298416719 596833438 895250157 1193666876 1790500314 3581000628 9250918289 18501836578 27752754867 32527422371 37003673156 55505509734 65054844742 97582267113 111011019468 130109689484 195164534226 390329068452 1008350093501 2016700187002 3025050280503 4033400374004 6050100561006 12100201122012