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12220100121100 = 2252312682318637
BaseRepresentation
bin1011000111010011011010…
…1110100001001000001100
31121021020012210021201212111
42301310312232201020030
53100203231112333400
641553500403313404
72400605321121454
oct261646656411014
947236183251774
1012220100121100
113991573a39533
12145440697b864
136a8473070331
143036553a8d64
15162d15cdb3ba
hexb1d36ba120c

12220100121100 has 108 divisors (see below), whose sum is σ = 27406104407472. Its totient is φ = 4729414262400.

The previous prime is 12220100121077. The next prime is 12220100121133. The reversal of 12220100121100 is 112100102221.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 655680982 + ... + 655699618.

Almost surely, 212220100121100 is an apocalyptic number.

12220100121100 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 12220100121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13703052203736).

12220100121100 is an abundant number, since it is smaller than the sum of its proper divisors (15186004286372).

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

12220100121100 is a wasteful number, since it uses less digits than its factorization.

12220100121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25536 (or 25498 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12220100121100 its reverse (112100102221), we get a palindrome (12332200223321).

The spelling of 12220100121100 in words is "twelve trillion, two hundred twenty billion, one hundred million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 961 1550 1922 3100 3844 4805 6823 9610 13646 18637 19220 24025 27292 34115 37274 48050 68230 74548 93185 96100 136460 170575 186370 211513 341150 372740 423026 465925 577747 682300 846052 931850 1057565 1155494 1863700 2115130 2310988 2888735 4230260 5287825 5777470 6556903 10575650 11554940 13113806 14443675 17910157 21151300 26227612 28887350 32784515 35820314 57774700 65569030 71640628 89550785 127160251 131138060 163922575 179101570 254320502 327845150 358203140 447753925 508641004 635801255 655690300 895507850 1271602510 1791015700 2543205020 3179006275 3941967781 6358012550 7883935562 12716025100 15767871124 19709838905 39419677810 78839355620 98549194525 122201001211 197098389050 244402002422 394196778100 488804004844 611005006055 1222010012110 2444020024220 3055025030275 6110050060550 12220100121100