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120412204014 = 232329163197937
BaseRepresentation
bin111000000100100100…
…0000110101111101110
3102111210201210202002210
41300021020012233232
53433101011012024
6131152215231250
711461632563244
oct1601110065756
9374721722083
10120412204014
11470806060a3
121b405978526
13b47c70c77b
145b83da6794
1531eb27a129
hex1c09206bee

120412204014 has 128 divisors (see below), whose sum is σ = 263163479040. Its totient is φ = 36614882304.

The previous prime is 120412204009. The next prime is 120412204027. The reversal of 120412204014 is 410402214021.

120412204014 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 128507754 + ... + 128508690.

It is an arithmetic number, because the mean of its divisors is an integer number (2055964680).

Almost surely, 2120412204014 is an apocalyptic number.

120412204014 is an abundant number, since it is smaller than the sum of its proper divisors (142751275026).

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

120412204014 is a wasteful number, since it uses less digits than its factorization.

120412204014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 120412204014 its reverse (410402214021), we get a palindrome (530814418035).

The spelling of 120412204014 in words is "one hundred twenty billion, four hundred twelve million, two hundred four thousand, fourteen".

Divisors: 1 2 3 6 23 29 46 58 69 87 138 163 174 197 326 394 489 591 667 937 978 1182 1334 1874 2001 2811 3749 4002 4531 4727 5622 5713 7498 9062 9454 11247 11426 13593 14181 17139 21551 22494 27173 27186 28362 32111 34278 43102 54346 64222 64653 81519 96333 108721 129306 131399 152731 163038 184589 192666 217442 262798 305462 326163 369178 394197 458193 553767 624979 652326 738553 788394 916386 931219 1107534 1249958 1477106 1862438 1874937 2215659 2793657 3512813 3749874 4245547 4429199 4431318 5353081 5587314 7025626 8491094 8858398 10538439 10706162 12736641 13287597 16059243 21076878 21418037 25473282 26575194 30088007 32118486 42836074 60176014 64254111 90264021 101871577 123120863 128508222 180528042 203743154 246241726 305614731 369362589 611229462 692024161 738725178 872552203 1384048322 1745104406 2076072483 2617656609 4152144966 5235313218 20068700669 40137401338 60206102007 120412204014