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212122020012 = 223717314596891
BaseRepresentation
bin1100010110001101110…
…1010010100010101100
3202021112011000002211120
43011203131102202230
511433411214120022
6241240355020540
721216403264140
oct3054335224254
9667464002746
10212122020012
1181a62394261
123513b29a750
1317006837196
14a3a3dc3220
1557b7798d5c
hex31637528ac

212122020012 has 48 divisors (see below), whose sum is σ = 568928462592. Its totient is φ = 60255961920.

The previous prime is 212122020007. The next prime is 212122020013. The reversal of 212122020012 is 210020221212.

It is a super-3 number, since 3×2121220200123 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212122019973 and 212122020000.

It is not an unprimeable number, because it can be changed into a prime (212122020013) 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, 7283914 + ... + 7312977.

It is an arithmetic number, because the mean of its divisors is an integer number (11852676304).

Almost surely, 2212122020012 is an apocalyptic number.

It is an amenable number.

212122020012 is an abundant number, since it is smaller than the sum of its proper divisors (356806442580).

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

212122020012 is a wasteful number, since it uses less digits than its factorization.

212122020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14597078 (or 14597076 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212122020012 its reverse (210020221212), we get a palindrome (422142241224).

The spelling of 212122020012 in words is "two hundred twelve billion, one hundred twenty-two million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 173 346 519 692 1038 1211 2076 2422 3633 4844 7266 14532 14596891 29193782 43790673 58387564 87581346 102178237 175162692 204356474 306534711 408712948 613069422 1226138844 2525262143 5050524286 7575786429 10101048572 15151572858 17676835001 30303145716 35353670002 53030505003 70707340004 106061010006 212122020012