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120022121112 = 233167277108107
BaseRepresentation
bin110111111000111100…
…0000011101010011000
3102110210112210110221220
41233301320003222120
53431301130333422
6131045402332040
711446155124305
oct1576170035230
9373715713856
10120022121112
11469a03a4033
121b3171ba020
13b41996109a
145b482640ac
1531c6dc4e5c
hex1bf1e03a98

120022121112 has 64 divisors (see below), whose sum is σ = 302944561920. Its totient is φ = 39623875968.

The previous prime is 120022121081. The next prime is 120022121123. The reversal of 120022121112 is 211121220021.

It is a super-2 number, since 2×1200221211122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120022121091 and 120022121100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056163 + ... + 1164269.

It is an arithmetic number, because the mean of its divisors is an integer number (4733508780).

Almost surely, 2120022121112 is an apocalyptic number.

120022121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120022121112 is an abundant number, since it is smaller than the sum of its proper divisors (182922440808).

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

120022121112 is a wasteful number, since it uses less digits than its factorization.

120022121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108560 (or 108556 counting only the distinct ones).

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

Adding to 120022121112 its reverse (211121220021), we get a palindrome (331143341133).

The spelling of 120022121112 in words is "one hundred twenty billion, twenty-two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 167 277 334 501 554 668 831 1002 1108 1336 1662 2004 2216 3324 4008 6648 46259 92518 108107 138777 185036 216214 277554 324321 370072 432428 555108 648642 864856 1110216 1297284 2594568 18053869 29945639 36107738 54161607 59891278 72215476 89836917 108323214 119782556 144430952 179673834 216646428 239565112 359347668 433292856 718695336 5000921713 10001843426 15002765139 20003686852 30005530278 40007373704 60011060556 120022121112