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211122202012120 = 23572332782950623
BaseRepresentation
bin110000000000001110110111…
…110110101110100111011000
31000200112002022020221011010201
4300000032313312232213120
5210133011232203341440
62025004111202151544
762320034656463020
oct6000166766564730
91020462266834121
10211122202012120
11612a7472100703
121b818a923525b4
1390a5979b54739
143a1c524b44a80
151961b8dbb719a
hexc003b7dae9d8

211122202012120 has 64 divisors (see below), whose sum is σ = 566489386782720. Its totient is φ = 69237591713664.

The previous prime is 211122202011979. The next prime is 211122202012121. The reversal of 211122202012120 is 21210202221112.

211122202012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122202012121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16391468872 + ... + 16391481751.

It is an arithmetic number, because the mean of its divisors is an integer number (8851396668480).

Almost surely, 2211122202012120 is an apocalyptic number.

211122202012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122202012120 is an abundant number, since it is smaller than the sum of its proper divisors (355367184770600).

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

211122202012120 is a wasteful number, since it uses less digits than its factorization.

211122202012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32782950664 (or 32782950660 counting only the distinct ones).

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

Adding to 211122202012120 its reverse (21210202221112), we get a palindrome (232332404233232).

The spelling of 211122202012120 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 32782950623 65565901246 131131802492 163914753115 229480654361 262263604984 327829506230 458961308722 655659012460 754007864329 917922617444 1147403271805 1311318024920 1508015728658 1835845234888 2294806543610 3016031457316 3770039321645 4589613087220 5278055050303 6032062914632 7540078643290 9179226174440 10556110100606 15080157286580 21112220201212 26390275251515 30160314573160 42224440402424 52780550503030 105561101006060 211122202012120