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12132120220 = 22511472111681
BaseRepresentation
bin10110100110010000…
…10111011010011100
31011022111201120012221
423103020113122130
5144321310321340
65323505235124
7606434214613
oct132310273234
934274646187
1012132120220
1151662a1540
122427032aa4
1311b464337c
148313b087a
154b016c44a
hex2d321769c

12132120220 has 48 divisors (see below), whose sum is σ = 27801851616. Its totient is φ = 4410368000.

The previous prime is 12132120197. The next prime is 12132120257. The reversal of 12132120220 is 2202123121.

It is a happy number.

12132120220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12132120194 and 12132120203.

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 15 ways as a sum of consecutive naturals, for example, 1032780 + ... + 1044460.

It is an arithmetic number, because the mean of its divisors is an integer number (579205242).

Almost surely, 212132120220 is an apocalyptic number.

12132120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132120220 is an abundant number, since it is smaller than the sum of its proper divisors (15669731396).

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

12132120220 is a wasteful number, since it uses less digits than its factorization.

12132120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16422 (or 16420 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12132120220 its reverse (2202123121), we get a palindrome (14334243341).

The spelling of 12132120220 in words is "twelve billion, one hundred thirty-two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 4721 9442 11681 18884 23362 23605 46724 47210 51931 58405 94420 103862 116810 128491 207724 233620 256982 259655 513964 519310 642455 1038620 1284910 2569820 55146001 110292002 220584004 275730005 551460010 606606011 1102920020 1213212022 2426424044 3033030055 6066060110 12132120220