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12220212122112 = 293431789103421
BaseRepresentation
bin1011000111010011110101…
…1001110001001000000000
31121021020111121000222101010
42301310331121301020000
53100203443300401422
641553515444040520
72400611151116151
oct261647531611000
947236447028333
1012220212122112
113991621187555
121454438393140
136a8490326417
14303666201928
15162d20a61b0c
hexb1d3d671200

12220212122112 has 160 divisors (see below), whose sum is σ = 33331454418240. Its totient is φ = 3976411299840.

The previous prime is 12220212122089. The next prime is 12220212122113. The reversal of 12220212122112 is 21122121202221.

It is not an unprimeable number, because it can be changed into a prime (12220212122113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118108162 + ... + 118211582.

It is an arithmetic number, because the mean of its divisors is an integer number (208321590114).

Almost surely, 212220212122112 is an apocalyptic number.

12220212122112 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 12220212122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665727209120).

12220212122112 is an abundant number, since it is smaller than the sum of its proper divisors (21111242296128).

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

12220212122112 is a wasteful number, since it uses less digits than its factorization.

12220212122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105274 (or 105258 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12220212122112 its reverse (21122121202221), we get a palindrome (33342333324333).

The spelling of 12220212122112 in words is "twelve trillion, two hundred twenty billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1032 1376 1536 1789 2064 2752 3578 4128 5367 5504 7156 8256 10734 11008 14312 16512 21468 22016 28624 33024 42936 57248 66048 76927 85872 103421 114496 153854 171744 206842 228992 230781 307708 310263 343488 413684 457984 461562 615416 620526 686976 827368 915968 923124 1230832 1241052 1373952 1654736 1846248 2461664 2482104 2747904 3309472 3692496 4447103 4923328 4964208 6618944 7384992 8894206 9846656 9928416 13237888 13341309 14769984 17788412 19693312 19856832 26475776 26682618 29539968 35576824 39386624 39713664 52951552 53365236 59079936 71153648 79427328 106730472 118159872 142307296 158854656 185020169 213460944 284614592 370040338 426921888 555060507 569229184 740080676 853843776 1110121014 1138458368 1480161352 1707687552 2220242028 2276916736 2960322704 3415375104 4440484056 5920645408 6830750208 7955867267 8880968112 11841290816 15911734534 17761936224 23682581632 23867601801 31823469068 35523872448 47365163264 47735203602 63646938136 71047744896 94730326528 95470407204 127293876272 142095489792 190940814408 254587752544 284190979584 381881628816 509175505088 763763257632 1018351010176 1527526515264 2036702020352 3055053030528 4073404040704 6110106061056 12220212122112