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12202012222100 = 22525310459220123
BaseRepresentation
bin1011000110010000000010…
…0110101010001010010100
31121012111112012201021002022
42301210000212222022110
53044404210112101400
641541305501032312
72366365144404161
oct261440046521224
947174465637068
1012202012222100
113984931880278
1214509b9255698
136a684c87520c
1430281b01b068
15162607d6db85
hexb19009aa294

12202012222100 has 72 divisors (see below), whose sum is σ = 26980660314720. Its totient is φ = 4788234622080.

The previous prime is 12202012222069. The next prime is 12202012222163. The reversal of 12202012222100 is 122221020221.

It is a happy number.

It is a congruent number.

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, 55322639 + ... + 55542761.

It is an arithmetic number, because the mean of its divisors is an integer number (374731393260).

Almost surely, 212202012222100 is an apocalyptic number.

12202012222100 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 12202012222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13490330157360).

12202012222100 is an abundant number, since it is smaller than the sum of its proper divisors (14778648092620).

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

12202012222100 is a wasteful number, since it uses less digits than its factorization.

12202012222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230649 (or 230642 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12202012222100 its reverse (122221020221), we get a palindrome (12324233242321).

The spelling of 12202012222100 in words is "twelve trillion, two hundred two billion, twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 10459 20918 41836 52295 104590 209180 220123 261475 440246 522950 554327 880492 1045900 1100615 1108654 2201230 2217308 2771635 4402460 5503075 5543270 11006150 11086540 11666519 13858175 22012300 23333038 27716350 46666076 55432700 58332595 116665190 233330380 291662975 583325950 1166651900 2302266457 4604532914 9209065828 11511332285 23022664570 46045329140 57556661425 115113322850 122020122221 230226645700 244040244442 488080488884 610100611105 1220201222210 2440402444420 3050503055525 6101006111050 12202012222100