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211202120002122 = 232211404871373497
BaseRepresentation
bin110000000001011001010011…
…010101101010101001001010
31000200210201120212201200120100
4300001121103111222221022
5210140313420210031442
62025104525310110230
762325564264260304
oct6001312325525112
91020721525650510
10211202120002122
1161328352793427
121b8304767ab376
1390b0374ca4312
143a22346a52974
151963cb9d8684c
hexc0165356aa4a

211202120002122 has 48 divisors (see below), whose sum is σ = 459785026314432. Its totient is φ = 70065272410560.

The previous prime is 211202120002063. The next prime is 211202120002123. The reversal of 211202120002122 is 221200021202112.

It is a happy number.

211202120002122 is a `hidden beast` number, since 211 + 20 + 21 + 200 + 0 + 212 + 2 = 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 = 211202120002095 and 211202120002104.

It is not an unprimeable number, because it can be changed into a prime (211202120002123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153082878 + ... + 154456374.

It is an arithmetic number, because the mean of its divisors is an integer number (9578854714884).

Almost surely, 2211202120002122 is an apocalyptic number.

211202120002122 is an abundant number, since it is smaller than the sum of its proper divisors (248582906312310).

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

211202120002122 is a wasteful number, since it uses less digits than its factorization.

211202120002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414203 (or 1414200 counting only the distinct ones).

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

Adding to 211202120002122 its reverse (221200021202112), we get a palindrome (432402141204234).

The spelling of 211202120002122 in words is "two hundred eleven trillion, two hundred two billion, one hundred twenty million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 211 422 633 1266 1899 3798 40487 80974 121461 242922 364383 728766 1373497 2746994 4120491 8240982 8542757 12361473 17085514 24722946 25628271 51256542 76884813 153769626 289807867 579615734 869423601 1738847202 2608270803 5216541606 55608773039 111217546078 166826319117 333652638234 500478957351 1000957914702 11733451111229 23466902222458 35200353333687 70400706667374 105601060001061 211202120002122