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12202012222101 = 3213831256514491
BaseRepresentation
bin1011000110010000000010…
…0110101010001010010101
31121012111112012201021002100
42301210000212222022111
53044404210112101401
641541305501032313
72366365144404162
oct261440046521225
947174465637070
1012202012222101
113984931880279
1214509b9255699
136a684c875210
1430281b01b069
15162607d6db86
hexb19009aa295

12202012222101 has 24 divisors (see below), whose sum is σ = 19209593553696. Its totient is φ = 7418461548960.

The previous prime is 12202012222069. The next prime is 12202012222163. The reversal of 12202012222101 is 10122221020221.

It is a happy number.

12202012222101 is a `hidden beast` number, since 1 + 220 + 201 + 22 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 12202012222101 - 25 = 12202012222069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202012221101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 628247535 + ... + 628266956.

It is an arithmetic number, because the mean of its divisors is an integer number (800399731404).

Almost surely, 212202012222101 is an apocalyptic number.

It is an amenable number.

12202012222101 is a deficient number, since it is larger than the sum of its proper divisors (7007581331595).

12202012222101 is a wasteful number, since it uses less digits than its factorization.

12202012222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256514593 (or 1256514590 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12202012222101 its reverse (10122221020221), we get a palindrome (22324233242322).

The spelling of 12202012222101 in words is "twelve trillion, two hundred two billion, twelve million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 13 39 83 117 249 747 1079 3237 9711 1256514491 3769543473 11308630419 16334688383 49004065149 104290702753 147012195447 312872108259 938616324777 1355779135789 4067337407367 12202012222101