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12022211110020 = 22354127118033497
BaseRepresentation
bin1010111011110010001110…
…0111110110010010000100
31120120022102120012101202220
42232330203213312102010
53033432442021010040
641322532203132340
72350401412230216
oct256744347662204
946508376171686
1012022211110020
113915655831581
121421b9a2140b0
136928c71b8a37
142d7c417d45b6
1515cad2d502d0
hexaef239f6484

12022211110020 has 96 divisors (see below), whose sum is σ = 34610466433536. Its totient is φ = 3116188108800.

The previous prime is 12022211109989. The next prime is 12022211110067. The reversal of 12022211110020 is 2001111222021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8350089 + ... + 9683408.

It is an arithmetic number, because the mean of its divisors is an integer number (360525692016).

Almost surely, 212022211110020 is an apocalyptic number.

12022211110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022211110020 is an abundant number, since it is smaller than the sum of its proper divisors (22588255323516).

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

12022211110020 is a wasteful number, since it uses less digits than its factorization.

12022211110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18033821 (or 18033819 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12022211110020 its reverse (2001111222021), we get a palindrome (14023322332041).

The spelling of 12022211110020 in words is "twelve trillion, twenty-two billion, two hundred eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 271 410 492 542 615 813 820 1084 1230 1355 1626 2460 2710 3252 4065 5420 8130 11111 16260 22222 33333 44444 55555 66666 111110 133332 166665 222220 333330 666660 18033497 36066994 54100491 72133988 90167485 108200982 180334970 216401964 270502455 360669940 541004910 739373377 1082009820 1478746754 2218120131 2957493508 3696866885 4436240262 4887077687 7393733770 8872480524 9774155374 11090600655 14661233061 14787467540 19548310748 22181201310 24435388435 29322466122 44362402620 48870776870 58644932244 73306165305 97741553740 146612330610 200370185167 293224661220 400740370334 601110555501 801480740668 1001850925835 1202221111002 2003701851670 2404442222004 3005552777505 4007403703340 6011105555010 12022211110020