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2122301202112 = 267133527103319
BaseRepresentation
bin11110111000100011000…
…000100101111011000000
321111220000211010122022101
4132320203000211323000
5234232433101431422
64302545520120144
7306221413366360
oct36704300457300
97456024118271
102122301202112
11749076778133
122a3396466054
13125194424aa0
1474a116989a0
153a314ee0c27
hex1ee23025ec0

2122301202112 has 112 divisors (see below), whose sum is σ = 5184832343040. Its totient is φ = 839345513472.

The previous prime is 2122301202029. The next prime is 2122301202221. The reversal of 2122301202112 is 2112021032212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 2122301202112.

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, 20489589 + ... + 20592907.

It is an arithmetic number, because the mean of its divisors is an integer number (46293145920).

Almost surely, 22122301202112 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 2122301202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592416171520).

2122301202112 is an abundant number, since it is smaller than the sum of its proper divisors (3062531140928).

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

2122301202112 is a wasteful number, since it uses less digits than its factorization.

2122301202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106878 (or 106868 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 2122301202112 its reverse (2112021032212), we get a palindrome (4234322234324).

The spelling of 2122301202112 in words is "two trillion, one hundred twenty-two billion, three hundred one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 3527 5824 7054 14108 24689 28216 45851 49378 56432 91702 98756 103319 112864 183404 197512 206638 225728 320957 366808 395024 413276 641914 723233 733616 790048 826552 1283828 1343147 1446466 1467232 1580096 1653104 2567656 2686294 2892932 2934464 3306208 5135312 5372588 5785864 6612416 9402029 10270624 10745176 11571728 18804058 20541248 21490352 23143456 37608116 42980704 46286912 75216232 85961408 150432464 300864928 364406113 601729856 728812226 1457624452 2550842791 2915248904 4737279469 5101685582 5830497808 9474558938 10203371164 11660995616 18949117876 20406742328 23321991232 33160956283 37898235752 40813484656 66321912566 75796471504 81626969312 132643825132 151592943008 163253938624 265287650264 303185886016 530575300528 1061150601056 2122301202112