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120112102212 = 223291217283607
BaseRepresentation
bin110111111011100111…
…1010011101101000100
3102111000211002222211020
41233313033103231010
53431442144232322
6131102335111140
711451330011004
oct1576717235504
9374024088736
10120112102212
1146a37172183
121b3413724b0
13b4324a753b
145b561a8004
1531cec4b05c
hex1bf73d3b44

120112102212 has 48 divisors (see below), whose sum is σ = 290165016960. Its totient is φ = 38624868352.

The previous prime is 120112102211. The next prime is 120112102213. The reversal of 120112102212 is 212201211021.

120112102212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120112102211) and next prime (120112102213).

It is a junction number, because it is equal to n+sod(n) for n = 120112102191 and 120112102200.

It is not an unprimeable number, because it can be changed into a prime (120112102211) 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 15 ways as a sum of consecutive naturals, for example, 281713 + ... + 565319.

It is an arithmetic number, because the mean of its divisors is an integer number (6045104520).

Almost surely, 2120112102212 is an apocalyptic number.

120112102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120112102212 is an abundant number, since it is smaller than the sum of its proper divisors (170052914748).

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

120112102212 is a wasteful number, since it uses less digits than its factorization.

120112102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284860 (or 284858 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120112102212 its reverse (212201211021), we get a palindrome (332313313233).

The spelling of 120112102212 in words is "one hundred twenty billion, one hundred twelve million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 1217 2434 3651 4868 7302 14604 35293 70586 105879 141172 211758 283607 423516 567214 850821 1134428 1701642 3403284 8224603 16449206 24673809 32898412 49347618 98695236 345149719 690299438 1035449157 1380598876 2070898314 4141796628 10009341851 20018683702 30028025553 40037367404 60056051106 120112102212