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212001022122112 = 2716769877141931
BaseRepresentation
bin110000001101000001010101…
…100111011001100010000000
31000210122002200202000100022101
4300031001111213121202000
5210241411043130401422
62030515531451120144
762440365650246056
oct6015012547314200
91023562622010271
10212001022122112
1161606146150673
121b93b275443054
13913a7c2662c42
143a4cc9326c1d6
151979976ab0c27
hexc0d0559d9880

212001022122112 has 64 divisors (see below), whose sum is σ = 424883876840640. Its totient is φ = 105363527224320.

The previous prime is 212001022122089. The next prime is 212001022122121. The reversal of 212001022122112 is 211221220100212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2120010221221122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212001022122112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1493619787 + ... + 1493761717.

It is an arithmetic number, because the mean of its divisors is an integer number (6638810575635).

Almost surely, 2212001022122112 is an apocalyptic number.

It is an amenable number.

212001022122112 is an abundant number, since it is smaller than the sum of its proper divisors (212882854718528).

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

212001022122112 is a wasteful number, since it uses less digits than its factorization.

212001022122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211989 (or 211977 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 212001022122112 its reverse (211221220100212), we get a palindrome (423222242222324).

The spelling of 212001022122112 in words is "two hundred twelve trillion, one billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 167 334 668 1336 2672 5344 10688 21376 69877 139754 141931 279508 283862 559016 567724 1118032 1135448 2236064 2270896 4472128 4541792 8944256 9083584 11669459 18167168 23338918 23702477 46677836 47404954 93355672 94809908 186711344 189619816 373422688 379239632 746845376 758479264 1493690752 1516958528 3033917056 9917712487 19835424974 39670849948 79341699896 158683399792 317366799584 634733599168 1269467198336 1656257985329 3312515970658 6625031941316 13250063882632 26500127765264 53000255530528 106000511061056 212001022122112