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12200112012102 = 2372563188939019
BaseRepresentation
bin1011000110001000111101…
…0101111011101101000110
31121012022121210010121000020
42301202033111323231012
53044341312133341402
641540353141000010
72366300102031300
oct261421725735506
947168553117006
1012200112012102
1139840471a1393
1214505689b3006
136a6608c99bc1
143026ba8da970
1516254611d8bc
hexb188f57bb46

12200112012102 has 96 divisors (see below), whose sum is σ = 28450131292800. Its totient is φ = 3477623772672.

The previous prime is 12200112012079. The next prime is 12200112012103. The reversal of 12200112012102 is 20121021100221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200112012103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312651549 + ... + 312690567.

It is an arithmetic number, because the mean of its divisors is an integer number (296355534300).

Almost surely, 212200112012102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200112012102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14225065646400).

12200112012102 is an abundant number, since it is smaller than the sum of its proper divisors (16250019280698).

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

12200112012102 is a wasteful number, since it uses less digits than its factorization.

12200112012102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41490 (or 41483 counting only the distinct ones).

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

Adding to 12200112012102 its reverse (20121021100221), we get a palindrome (32321133112323).

The spelling of 12200112012102 in words is "twelve trillion, two hundred billion, one hundred twelve million, twelve thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 563 1126 1689 1889 3378 3778 3941 5667 7882 11334 11823 13223 23646 26446 27587 39019 39669 55174 78038 79338 82761 92561 117057 165522 185122 234114 273133 277683 546266 555366 819399 1063507 1638798 1911931 2127014 3190521 3823862 5735793 6381042 7444549 11471586 14889098 21967697 22333647 43935394 44667294 52111843 65903091 73706891 104223686 131806182 147413782 153773879 156335529 221120673 307547758 312671058 442241346 461321637 515948237 922643274 1031896474 1076417153 1547844711 2152834306 3095689422 3229251459 3611637659 6458502918 7223275318 10834912977 21669825954 41496979633 82993959266 124490938899 248981877798 290478857431 580957714862 871436572293 1742873144586 2033352002017 4066704004034 6100056006051 12200112012102