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12111972840 = 23325113058579
BaseRepresentation
bin10110100011110111…
…00000100111101000
31011021002210222012200
423101323200213220
5144301131112330
65321505340200
7606101033112
oct132173404750
934232728180
1012111972840
115155990510
122420337660
1311b040ab46
1482c8483b2
154ad4dca60
hex2d1ee09e8

12111972840 has 96 divisors (see below), whose sum is σ = 42942463200. Its totient is φ = 2936234880.

The previous prime is 12111972839. The next prime is 12111972863. The reversal of 12111972840 is 4827911121.

12111972840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12111972795 and 12111972804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1525330 + ... + 1533249.

It is an arithmetic number, because the mean of its divisors is an integer number (447317325).

Almost surely, 212111972840 is an apocalyptic number.

12111972840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111972840 is an abundant number, since it is smaller than the sum of its proper divisors (30830490360).

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

12111972840 is a wasteful number, since it uses less digits than its factorization.

12111972840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058607 (or 3058600 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 12111972840 in words is "twelve billion, one hundred eleven million, nine hundred seventy-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 3058579 6117158 9175737 12234316 15292895 18351474 24468632 27527211 30585790 33644369 36702948 45878685 55054422 61171580 67288738 73405896 91757370 100933107 110108844 122343160 134577476 137636055 168221845 183514740 201866214 220217688 269154952 275272110 302799321 336443690 367029480 403732428 504665535 550544220 605598642 672887380 807464856 1009331070 1101088440 1211197284 1345774760 1513996605 2018662140 2422394568 3027993210 4037324280 6055986420 12111972840