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12200002112200 = 2352722133937771
BaseRepresentation
bin1011000110001000100011…
…0010101100101011001000
31121012022100010100002200111
42301202020302230223020
53044341101020042300
641540334213244104
72366264265634360
oct261421062545310
947168303302614
1012200002112200
113983aa0158a21
121450538033634
136a65bc29b286
143026aa08d9a0
1516253b6609ba
hexb1888cacac8

12200002112200 has 96 divisors (see below), whose sum is σ = 32431805213760. Its totient is φ = 4180966675200.

The previous prime is 12200002112183. The next prime is 12200002112231. The reversal of 12200002112200 is 221120000221.

It is a happy number.

It is a super-2 number, since 2×122000021122002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1129315 + ... + 5067085.

It is an arithmetic number, because the mean of its divisors is an integer number (337831304310).

Almost surely, 212200002112200 is an apocalyptic number.

12200002112200 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 12200002112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16215902606880).

12200002112200 is an abundant number, since it is smaller than the sum of its proper divisors (20231803101560).

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

12200002112200 is a wasteful number, since it uses less digits than its factorization.

12200002112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940007 (or 3939998 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12200002112200 its reverse (221120000221), we get a palindrome (12421122112421).

The spelling of 12200002112200 in words is "twelve trillion, two hundred billion, two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2213 4426 8852 11065 15491 17704 22130 30982 44260 55325 61964 77455 88520 110650 123928 154910 221300 309820 387275 442600 619640 774550 1549100 3098200 3937771 7875542 15751084 19688855 27564397 31502168 39377710 55128794 78755420 98444275 110257588 137821985 157510840 196888550 220515176 275643970 393777100 551287940 689109925 787554200 1102575880 1378219850 2756439700 5512879400 8714287223 17428574446 34857148892 43571436115 61000010561 69714297784 87142872230 122000021122 174285744460 217857180575 244000042244 305000052805 348571488920 435714361150 488000084488 610000105610 871428722300 1220000211220 1525000264025 1742857444600 2440000422440 3050000528050 6100001056100 12200002112200