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12132112220 = 22517237121851
BaseRepresentation
bin10110100110010000…
…10101011101011100
31011022111201011020122
423103020111131130
5144321310042340
65323505134112
7606434152364
oct132310253534
934274634218
1012132112220
115166296528
12242702a338
1311b463c837
148313ab9a4
154b0169db5
hex2d321575c

12132112220 has 96 divisors (see below), whose sum is σ = 28546753536. Its totient is φ = 4307072000.

The previous prime is 12132112193. The next prime is 12132112231. The reversal of 12132112220 is 2221123121.

12132112220 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 (17).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 544295 + ... + 566145.

It is an arithmetic number, because the mean of its divisors is an integer number (297362016).

Almost surely, 212132112220 is an apocalyptic number.

12132112220 is a gapful number since it is divisible by the number (10) 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 12132112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14273376768).

12132112220 is an abundant number, since it is smaller than the sum of its proper divisors (16414641316).

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

12132112220 is a wasteful number, since it uses less digits than its factorization.

12132112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21971 (or 21969 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12132112220 its reverse (2221123121), we get a palindrome (14353235341).

The spelling of 12132112220 in words is "twelve billion, one hundred thirty-two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 71 85 92 115 142 170 230 284 340 355 391 460 710 782 1207 1420 1564 1633 1955 2414 3266 3910 4828 6035 6532 7820 8165 12070 16330 21851 24140 27761 32660 43702 55522 87404 109255 111044 138805 218510 277610 371467 437020 502573 555220 742934 1005146 1485868 1551421 1857335 2010292 2512865 3102842 3714670 5025730 6205684 7429340 7757105 8543741 10051460 15514210 17087482 26374157 31028420 34174964 35682683 42718705 52748314 71365366 85437410 105496628 131870785 142730732 170874820 178413415 263741570 356826830 527483140 606605611 713653660 1213211222 2426422444 3033028055 6066056110 12132112220