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12100222011012 = 22343792291296227
BaseRepresentation
bin1011000000010100110101…
…1011110100011010000100
31120211202210021110202220020
42300011031123310122010
53041222223313323022
641422433143335140
72356132532031312
oct260051533643204
946752707422806
1012100222011012
113945747967083
12143512ba514b0
1369a07a1c2195
142db9223110b2
1515eb4b8b135c
hexb014d6f4684

12100222011012 has 96 divisors (see below), whose sum is σ = 29383933286400. Its totient is φ = 3872749974912.

The previous prime is 12100222011011. The next prime is 12100222011037. The reversal of 12100222011012 is 21011022200121.

It is a junction number, because it is equal to n+sod(n) for n = 12100222010982 and 12100222011000.

It is not an unprimeable number, because it can be changed into a prime (12100222011011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8686843 + ... + 9983069.

It is an arithmetic number, because the mean of its divisors is an integer number (306082638400).

Almost surely, 212100222011012 is an apocalyptic number.

12100222011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12100222011012 is an abundant number, since it is smaller than the sum of its proper divisors (17283711275388).

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

12100222011012 is a wasteful number, since it uses less digits than its factorization.

12100222011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296585 (or 1296583 counting only the distinct ones).

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

Adding to 12100222011012 its reverse (21011022200121), we get a palindrome (33111244211133).

The spelling of 12100222011012 in words is "twelve trillion, one hundred billion, two hundred twenty-two million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 43 79 86 129 158 172 229 237 258 316 458 474 516 687 916 948 1374 2748 3397 6794 9847 10191 13588 18091 19694 20382 29541 36182 39388 40764 54273 59082 72364 108546 118164 217092 777913 1296227 1555826 2333739 2592454 3111652 3888681 4667478 5184908 7777362 9334956 15554724 55737761 102401933 111475522 167213283 204803866 222951044 296835983 307205799 334426566 409607732 593671966 614411598 668853132 890507949 1187343932 1228823196 1781015898 3562031796 4403283119 8806566238 12763947269 13209849357 17613132476 23450042657 25527894538 26419698714 38291841807 46900085314 51055789076 52839397428 70350127971 76583683614 93800170628 140700255942 153167367228 281400511884 1008351834251 2016703668502 3025055502753 4033407337004 6050111005506 12100222011012