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2012112096 = 253371095197
BaseRepresentation
bin111011111101110…
…0110010011100000
312012020010212220020
41313323212103200
513110100041341
6531354313440
7100601446011
oct16773462340
95166125806
102012112096
1194286a665
12481a28880
13260b28397
1415132d008
15bb9a6566
hex77ee64e0

2012112096 has 96 divisors (see below), whose sum is σ = 5475365280. Its totient is φ = 646465536.

The previous prime is 2012112079. The next prime is 2012112119. The reversal of 2012112096 is 6902112102.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 384570 + ... + 389766.

It is an arithmetic number, because the mean of its divisors is an integer number (57035055).

Almost surely, 22012112096 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 2012112096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737682640).

2012112096 is an abundant number, since it is smaller than the sum of its proper divisors (3463253184).

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

2012112096 is a wasteful number, since it uses less digits than its factorization.

2012112096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 2012112096 is about 44856.5724950090. The cubic root of 2012112096 is about 1262.4593136057.

Adding to 2012112096 its reverse (6902112102), we get a palindrome (8914224198).

The spelling of 2012112096 in words is "two billion, twelve million, one hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 109 111 148 218 222 296 327 436 444 592 654 872 888 1184 1308 1744 1776 2616 3488 3552 4033 5197 5232 8066 10394 10464 12099 15591 16132 20788 24198 31182 32264 41576 48396 62364 64528 83152 96792 124728 129056 166304 192289 193584 249456 384578 387168 498912 566473 576867 769156 1132946 1153734 1538312 1699419 2265892 2307468 3076624 3398838 4531784 4614936 6153248 6797676 9063568 9229872 13595352 18127136 18459744 20959501 27190704 41919002 54381408 62878503 83838004 125757006 167676008 251514012 335352016 503028024 670704032 1006056048 2012112096