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12202200212121 = 32831371013117703
BaseRepresentation
bin1011000110010000101111…
…0011110010001010011001
31121012112000022110010220200
42301210023303302022121
53044410101223241441
641541340254212413
72366402616321063
oct261441363621231
947175008403820
1012202200212121
113984a189aaa27
121450a501b4109
136a687c7b5b0a
14302837d94733
151626196047b6
hexb190bcf2299

12202200212121 has 48 divisors (see below), whose sum is σ = 17985847291776. Its totient is φ = 7970184338688.

The previous prime is 12202200212057. The next prime is 12202200212129. The reversal of 12202200212121 is 12121200220221.

It is a happy number.

12202200212121 is a `hidden beast` number, since 1 + 220 + 220 + 0 + 212 + 12 + 1 = 666.

It is not a de Polignac number, because 12202200212121 - 26 = 12202200212057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12202200212094 and 12202200212103.

It is not an unprimeable number, because it can be changed into a prime (12202200212129) 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, 103610556 + ... + 103728258.

It is an arithmetic number, because the mean of its divisors is an integer number (374705151912).

Almost surely, 212202200212121 is an apocalyptic number.

It is an amenable number.

12202200212121 is a deficient number, since it is larger than the sum of its proper divisors (5783647079655).

12202200212121 is a wasteful number, since it uses less digits than its factorization.

12202200212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118942 (or 118939 counting only the distinct ones).

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

Adding to 12202200212121 its reverse (12121200220221), we get a palindrome (24323400432342).

The spelling of 12202200212121 in words is "twelve trillion, two hundred two billion, two hundred million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 83 137 249 411 747 1013 1233 3039 9117 11371 34113 84079 102339 117703 138781 252237 353109 416343 756711 1059327 1249029 9769349 11518823 16125311 29308047 34556469 48375933 87924141 103669407 119233139 145127799 357699417 1073098251 1338400813 4015202439 9896350537 12045607317 16334940043 29689051611 49004820129 89067154833 147014460387 1355800023569 4067400070707 12202200212121