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120211112120022 = 232711310927897203
BaseRepresentation
bin11011010101010011010100…
…101000101100111011010110
3120202122001220002110220102200
4123111103110220230323112
5111224014324200320042
61103400120022145330
734214652264455430
oct3325232450547326
9522561802426380
10120211112120022
1135337278992680
1211595876282246
13520cb2296b7a1
14219836ac89650
15dd6e78414c4c
hex6d54d4a2ced6

120211112120022 has 96 divisors (see below), whose sum is σ = 324830579823360. Its totient is φ = 31213621373760.

The previous prime is 120211112120003. The next prime is 120211112120027. The reversal of 120211112120022 is 220021211112021.

120211112120022 is a `hidden beast` number, since 120 + 211 + 112 + 1 + 200 + 22 = 666.

It is a super-2 number, since 2×1202111121200222 (a number of 29 digits) contains 22 as substring.

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 = 120211112119977 and 120211112120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120211112120027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9639528 + ... + 18257675.

It is an arithmetic number, because the mean of its divisors is an integer number (3383651873160).

Almost surely, 2120211112120022 is an apocalyptic number.

120211112120022 is an abundant number, since it is smaller than the sum of its proper divisors (204619467703338).

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

120211112120022 is a wasteful number, since it uses less digits than its factorization.

120211112120022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27900338 (or 27900335 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120211112120022 its reverse (220021211112021), we get a palindrome (340232323232043).

The spelling of 120211112120022 in words is "one hundred twenty trillion, two hundred eleven billion, one hundred twelve million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 3109 6218 9327 18654 21763 27981 34199 43526 55962 65289 68398 102597 130578 195867 205194 239393 307791 391734 478786 615582 718179 1436358 2154537 4309074 27897203 55794406 83691609 167383218 195280421 251074827 306869233 390560842 502149654 585841263 613738466 920607699 1171682526 1757523789 1841215398 2148084631 2761823097 3515047578 4296169262 5523646194 6444253893 12888507786 19332761679 38665523358 86732404127 173464808254 260197212381 520394424762 607126828889 780591637143 954056445397 1214253657778 1561183274286 1821380486667 1908112890794 2862169336191 3642760973334 5464141460001 5724338672382 6678395117779 8586508008573 10928282920002 13356790235558 17173016017146 20035185353337 40070370706674 60105556060011 120211112120022