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120230122012 = 2271121315311783
BaseRepresentation
bin110111111111001000…
…1100001001000011100
3102111100001012000112221
41233332101201020130
53432212402401022
6131122152435124
711454262114030
oct1577621411034
9374301160487
10120230122012
1146a97851200
121b3749a8aa4
13b450a8a040
145b67b2a1c0
1531da2aecc7
hex1bfe46121c

120230122012 has 144 divisors (see below), whose sum is σ = 284984551936. Its totient is φ = 43187126400.

The previous prime is 120230122003. The next prime is 120230122037. The reversal of 120230122012 is 210221032021.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 67430473 + ... + 67432255.

Almost surely, 2120230122012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120230122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142492275968).

120230122012 is an abundant number, since it is smaller than the sum of its proper divisors (164754429924).

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

120230122012 is a wasteful number, since it uses less digits than its factorization.

120230122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 120230122012 its reverse (210221032021), we get a palindrome (330451154033).

It can be divided in two parts, 120230 and 122012, that added together give a palindrome (242242).

The spelling of 120230122012 in words is "one hundred twenty billion, two hundred thirty million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 572 847 1001 1531 1573 1694 1783 2002 3062 3146 3388 3566 4004 6124 6292 7132 10717 11011 12481 16841 19613 19903 21434 22022 23179 24962 33682 39226 39806 42868 44044 46358 49924 67364 78452 79612 92716 117887 137291 139321 162253 185251 215743 218933 235774 254969 274582 278642 324506 370502 431486 437866 471548 509938 549164 557284 649012 741004 862972 875732 1019876 1296757 1510201 1532531 1784783 2408263 2593514 2729773 2804659 3020402 3065062 3569566 4816526 5187028 5459546 5609318 6040804 6130124 7139132 9633052 10919092 11218636 16857841 19108411 19632613 30027503 33715682 35487049 38216822 39265226 60055006 67431364 70974098 76433644 78530452 120110012 141948196 210192521 248409343 330302533 390357539 420385042 496818686 660605066 780715078 840770084 993637372 1321210132 1561430156 2312117731 2732502773 4293932929 4624235462 5465005546 8587865858 9248470924 10930011092 17175731716 30057530503 60115061006 120230122012