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12001211022112 = 2513171697003821
BaseRepresentation
bin1010111010100011111111…
…1010110111101100100000
31120111022020000211101211021
42232220333322313230200
53033111440010201422
641305140310255224
72346026124355144
oct256507772675440
946438200741737
1012001211022112
113907759829724
121419ab9357514
1369092b572c10
142d6c0c77b224
1515c2a43d6dc7
hexaea3feb7b20

12001211022112 has 48 divisors (see below), whose sum is σ = 26941632678072. Its totient is φ = 5213195735040.

The previous prime is 12001211022107. The next prime is 12001211022127. The reversal of 12001211022112 is 21122011210021.

It can be written as a sum of positive squares in 4 ways, for example, as 5961000378256 + 6040210643856 = 2441516^2 + 2457684^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 848494839 + ... + 848508982.

Almost surely, 212001211022112 is an apocalyptic number.

It is an amenable number.

12001211022112 is an abundant number, since it is smaller than the sum of its proper divisors (14940421655960).

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

12001211022112 is a wasteful number, since it uses less digits than its factorization.

12001211022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697003861 (or 1697003853 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12001211022112 its reverse (21122011210021), we get a palindrome (33123222232133).

The spelling of 12001211022112 in words is "twelve trillion, one billion, two hundred eleven million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 1697003821 3394007642 6788015284 13576030568 22061049673 27152061136 28849064957 44122099346 54304122272 57698129914 88244198692 115396259828 176488397384 230792519656 352976794768 375037844441 461585039312 705953589536 750075688882 923170078624 1500151377764 3000302755528 6000605511056 12001211022112