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12101022220122 = 23211146767416417
BaseRepresentation
bin1011000000010111110100…
…1000010111111101011010
31120211211212001012121102200
42300011331020113331122
53041230343142020442
641423044410511030
72356161416505423
oct260057510277532
946754761177380
1012101022220122
113946018630020
121435313a35476
1369a176c192b4
142db99a6d264a
1515eb96c7a34c
hexb017d217f5a

12101022220122 has 48 divisors (see below), whose sum is σ = 28602679727232. Its totient is φ = 3666942639360.

The previous prime is 12101022220117. The next prime is 12101022220153. The reversal of 12101022220122 is 22102222010121.

It is a happy number.

12101022220122 is a `hidden beast` number, since 1 + 210 + 10 + 222 + 201 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12101022220095 and 12101022220104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28851658 + ... + 29268074.

It is an arithmetic number, because the mean of its divisors is an integer number (595889160984).

Almost surely, 212101022220122 is an apocalyptic number.

12101022220122 is an abundant number, since it is smaller than the sum of its proper divisors (16501657507110).

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

12101022220122 is a wasteful number, since it uses less digits than its factorization.

12101022220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563203 (or 563200 counting only the distinct ones).

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

Adding to 12101022220122 its reverse (22102222010121), we get a palindrome (34203244230243).

The spelling of 12101022220122 in words is "twelve trillion, one hundred one billion, twenty-two million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 146767 293534 416417 440301 832834 880602 1249251 1320903 1614437 2498502 2641806 3228874 3747753 4580587 4843311 7495506 9161174 9686622 13741761 14529933 27483522 29059866 41225283 82450566 61116273839 122232547678 183348821517 366697643034 550046464551 672279012229 1100092929102 1344558024458 2016837036687 4033674073374 6050511110061 12101022220122