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212022210121120 = 25572391231643439
BaseRepresentation
bin110000001101010101000100…
…100001001100110110100000
31000210201010101100222012211101
4300031111010201030312200
5210242232441242333440
62030533354135324144
762442046006255660
oct6015250441146640
91023633340865741
10212022210121120
1161614129229953
121b9433a9220654
13913c7bb1bc769
143a4dd0323c1a0
15197a2b6c9669a
hexc0d54484cda0

212022210121120 has 192 divisors, whose sum is σ = 575323073740800. Its totient is φ = 72330255406080.

The previous prime is 212022210121093. The next prime is 212022210121121. The reversal of 212022210121120 is 21121012220212.

It is not an unprimeable number, because it can be changed into a prime (212022210121121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329192361 + ... + 329835799.

It is an arithmetic number, because the mean of its divisors is an integer number (2996474342400).

Almost surely, 2212022210121120 is an apocalyptic number.

212022210121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212022210121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287661536870400).

212022210121120 is an abundant number, since it is smaller than the sum of its proper divisors (363300863619680).

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

212022210121120 is a wasteful number, since it uses less digits than its factorization.

212022210121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644931 (or 644923 counting only the distinct ones).

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

Adding to 212022210121120 its reverse (21121012220212), we get a palindrome (233143222341332).

The spelling of 212022210121120 in words is "two hundred twelve trillion, twenty-two billion, two hundred ten million, one hundred twenty-one thousand, one hundred twenty".