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120100212003222 = 23211676389689003
BaseRepresentation
bin11011010011101100000010…
…011110010101000110010110
3120202020110122021100020221100
4123103230002132111012112
5111220210213233100342
61103233135315530530
734203645133151643
oct3323540236250626
9522213567306840
10120100212003222
11352a4239740490
1211578285bb9a46
13520252ab36cb9
142192c4a318dca
15dd41372bae4c
hex6d3b02795196

120100212003222 has 48 divisors (see below), whose sum is σ = 283915205990208. Its totient is φ = 36388621891440.

The previous prime is 120100212003151. The next prime is 120100212003223. The reversal of 120100212003222 is 222300212001021.

120100212003222 is a `hidden beast` number, since 1 + 20 + 100 + 21 + 200 + 322 + 2 = 666.

It is a super-4 number, since 4×1201002120032224 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 = 120100212003195 and 120100212003204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100212003223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43505428 + ... + 46183575.

It is an arithmetic number, because the mean of its divisors is an integer number (5914900124796).

Almost surely, 2120100212003222 is an apocalyptic number.

120100212003222 is an abundant number, since it is smaller than the sum of its proper divisors (163814993986986).

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

120100212003222 is a wasteful number, since it uses less digits than its factorization.

120100212003222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89695785 (or 89695782 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120100212003222 its reverse (222300212001021), we get a palindrome (342400424004243).

The spelling of 120100212003222 in words is "one hundred twenty trillion, one hundred billion, two hundred twelve million, three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 6763 13526 20289 40578 60867 74393 121734 148786 223179 446358 669537 1339074 89689003 179378006 269067009 538134018 807201027 986579033 1614402054 1973158066 2959737099 5919474198 8879211297 17758422594 606566727289 1213133454578 1819700181867 3639400363734 5459100545601 6672234000179 10918201091202 13344468000358 20016702000537 40033404001074 60050106001611 120100212003222