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12011220192 = 2531138631283
BaseRepresentation
bin10110010111110110…
…01010110011100000
31011000002020012120010
423023323022303200
5144044333021232
65303510044520
7603435454446
oct131373126340
934002205503
1012011220192
115104025564
1223b2649740
1311955928aa
1481d2dcb96
154a473a0cc
hex2cbecace0

12011220192 has 96 divisors (see below), whose sum is σ = 31870153728. Its totient is φ = 3960621056.

The previous prime is 12011220187. The next prime is 12011220197. The reversal of 12011220192 is 29102211021.

It is an interprime number because it is at equal distance from previous prime (12011220187) and next prime (12011220197).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011220197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9361183 + ... + 9362465.

It is an arithmetic number, because the mean of its divisors is an integer number (331980768).

Almost surely, 212011220192 is an apocalyptic number.

12011220192 is a gapful number since it is divisible by the number (12) 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 12011220192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15935076864).

12011220192 is an abundant number, since it is smaller than the sum of its proper divisors (19858933536).

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

12011220192 is a wasteful number, since it uses less digits than its factorization.

12011220192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 12011220192 in words is "twelve billion, eleven million, two hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 863 904 1283 1356 1726 1808 2566 2589 2712 3452 3616 3849 5132 5178 5424 6904 7698 10264 10356 10848 13808 15396 20528 20712 27616 30792 41056 41424 61584 82848 97519 123168 144979 195038 289958 292557 390076 434937 579916 585114 780152 869874 1107229 1159832 1170228 1560304 1739748 2214458 2319664 2340456 3120608 3321687 3479496 4428916 4639328 4680912 6643374 6958992 8857832 9361824 13286748 13917984 17715664 26573496 35431328 53146992 106293984 125116877 250233754 375350631 500467508 750701262 1000935016 1501402524 2001870032 3002805048 4003740064 6005610096 12011220192