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120163404312 = 23337372147923
BaseRepresentation
bin110111111101001001…
…1000000101000011000
3102111011101122102002000
41233322103000220120
53432043312414222
6131111410441000
711452522040550
oct1577223005030
9374141572060
10120163404312
1146a63122206
121b356593160
13b43ccca503
145b5cd20160
1531d44d19ac
hex1bfa4c0a18

120163404312 has 128 divisors (see below), whose sum is σ = 391781337600. Its totient is φ = 33404482944.

The previous prime is 120163404311. The next prime is 120163404337. The reversal of 120163404312 is 213404361021.

It is a happy number.

120163404312 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 6 + 340 + 4 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120163404311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1018018 + ... + 1129905.

It is an arithmetic number, because the mean of its divisors is an integer number (3060791700).

Almost surely, 2120163404312 is an apocalyptic number.

120163404312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120163404312 is an abundant number, since it is smaller than the sum of its proper divisors (271617933288).

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

120163404312 is a wasteful number, since it uses less digits than its factorization.

120163404312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147982 (or 2147972 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 120163404312 its reverse (213404361021), we get a palindrome (333567765333).

The spelling of 120163404312 in words is "one hundred twenty billion, one hundred sixty-three million, four hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 84 108 111 126 148 168 189 216 222 252 259 296 333 378 444 504 518 666 756 777 888 999 1036 1332 1512 1554 1998 2072 2331 2664 3108 3996 4662 6216 6993 7992 9324 13986 18648 27972 55944 2147923 4295846 6443769 8591692 12887538 15035461 17183384 19331307 25775076 30070922 38662614 45106383 51550152 57993921 60141844 77325228 79473151 90212766 115987842 120283688 135319149 154650456 158946302 180425532 231975684 238419453 270638298 317892604 360851064 405957447 463951368 476838906 541276596 556312057 635785208 715258359 811914894 953677812 1082553192 1112624114 1430516718 1623829788 1668936171 1907355624 2145775077 2225248228 2861033436 3247659576 3337872342 4291550154 4450496456 5006808513 5722066872 6675744684 8583100308 10013617026 13351489368 15020425539 17166200616 20027234052 30040851078 40054468104 60081702156 120163404312