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12211011100120 = 2357291693888257
BaseRepresentation
bin1011000110110001100011…
…1110101001110111011000
31121020100202100200122000211
42301230120332221313120
53100031122320200440
641545354442140504
72400134144533150
oct261543076516730
947210670618024
1012211011100120
11398872a475548
1214526aaab1734
136a7655021901
1430303221d760
15162982dc7eea
hexb1b18fa9dd8

12211011100120 has 128 divisors (see below), whose sum is σ = 32501715523200. Its totient is φ = 4039873560576.

The previous prime is 12211011100109. The next prime is 12211011100129. The reversal of 12211011100120 is 2100111011221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12211011100120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211011100129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13303032 + ... + 14191288.

It is an arithmetic number, because the mean of its divisors is an integer number (253919652525).

Almost surely, 212211011100120 is an apocalyptic number.

12211011100120 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 12211011100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16250857761600).

12211011100120 is an abundant number, since it is smaller than the sum of its proper divisors (20290704423080).

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

12211011100120 is a wasteful number, since it uses less digits than its factorization.

12211011100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889997 (or 889993 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12211011100120 its reverse (2100111011221), we get a palindrome (14311122111341).

The spelling of 12211011100120 in words is "twelve trillion, two hundred eleven billion, eleven million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 1693 2030 3386 4060 6772 8120 8465 11851 13544 16930 23702 33860 47404 49097 59255 67720 94808 98194 118510 196388 237020 245485 343679 392776 474040 490970 687358 888257 981940 1374716 1718395 1776514 1963880 2749432 3436790 3553028 4441285 6217799 6873580 7106056 8882570 12435598 13747160 17765140 24871196 25759453 31088995 35530280 49742392 51518906 62177990 103037812 124355980 128797265 180316171 206075624 248711960 257594530 360632342 515189060 721264684 901580855 1030378120 1442529368 1503819101 1803161710 3007638202 3606323420 6015276404 7212646840 7519095505 10526733707 12030552808 15038191010 21053467414 30076382020 42106934828 43610753929 52633668535 60152764040 84213869656 87221507858 105267337070 174443015716 210534674140 218053769645 305275277503 348886031432 421069348280 436107539290 610550555006 872215078580 1221101110012 1526376387515 1744430157160 2442202220024 3052752775030 6105505550060 12211011100120