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12020200222100 = 22527178811146539
BaseRepresentation
bin1010111011101010101111…
…0000111010110110010100
31120120010020102100201010112
42232322223300322312110
53033414332224101400
641322000450542152
72350300524040220
oct256725360726624
946503212321115
1012020200222100
113914813728734
121421718897958
136926666cb925
142d7ad0703780
1515ca1653b835
hexaeeabc3ad94

12020200222100 has 144 divisors (see below), whose sum is σ = 31599486253440. Its totient is φ = 3874381209600.

The previous prime is 12020200222039. The next prime is 12020200222169. The reversal of 12020200222100 is 122200202021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9910631 + ... + 11057169.

It is an arithmetic number, because the mean of its divisors is an integer number (219440876760).

Almost surely, 212020200222100 is an apocalyptic number.

12020200222100 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 12020200222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15799743126720).

12020200222100 is an abundant number, since it is smaller than the sum of its proper divisors (19579286031340).

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

12020200222100 is a wasteful number, since it uses less digits than its factorization.

12020200222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147458 (or 1147451 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12020200222100 its reverse (122200202021), we get a palindrome (12142400424121).

The spelling of 12020200222100 in words is "twelve trillion, twenty billion, two hundred million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 881 1190 1700 1762 2380 2975 3524 4405 5950 6167 8810 11900 12334 14977 17620 22025 24668 29954 30835 44050 59908 61670 74885 88100 104839 123340 149770 154175 209678 299540 308350 374425 419356 524195 616700 748850 1048390 1146539 1497700 2096780 2293078 2620975 4586156 5241950 5732695 8025773 10483900 11465390 16051546 19491163 22930780 28663475 32103092 38982326 40128865 57326950 77964652 80257730 97455815 114653900 136438141 160515460 194911630 200644325 272876282 389823260 401288650 487279075 545752564 682190705 802577300 974558150 1010100859 1364381410 1949116300 2020201718 2728762820 3410953525 4040403436 5050504295 6821907050 7070706013 10101008590 13643814100 14141412026 17171714603 20202017180 25252521475 28282824052 34343429206 35353530065 50505042950 68686858412 70707060130 85858573015 101010085900 120202002221 141414120260 171717146030 176767650325 240404004442 343434292060 353535300650 429292865075 480808008884 601010011105 707070601300 858585730150 1202020022210 1717171460300 2404040044420 3005050055525 6010100111050 12020200222100