Search a number
-
+
120021120110112 = 25313601160017919
BaseRepresentation
bin11011010010100010011000…
…001110101100111000100000
3120201221220111012222210101220
4123102202120032230320200
5111212411223222010422
61103132535202055040
734165145146152204
oct3322423016547040
9521856435883356
10120021120110112
11352737423a3571
1211564a9234a480
1351c7c34ba6850
14218d0a600ab04
15dd20588cae5c
hex6d28983ace20

120021120110112 has 96 divisors (see below), whose sum is σ = 339855019499520. Its totient is φ = 36868128307200.

The previous prime is 120021120110071. The next prime is 120021120110131. The reversal of 120021120110112 is 211011021120021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1200211201101122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120021120110091 and 120021120110100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79258912 + ... + 80759007.

It is an arithmetic number, because the mean of its divisors is an integer number (3540156453120).

Almost surely, 2120021120110112 is an apocalyptic number.

120021120110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120021120110112 is an abundant number, since it is smaller than the sum of its proper divisors (219833899389408).

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

120021120110112 is a wasteful number, since it uses less digits than its factorization.

120021120110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160018546 (or 160018538 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120021120110112 its reverse (211011021120021), we get a palindrome (331032141230133).

The spelling of 120021120110112 in words is "one hundred twenty trillion, twenty-one billion, one hundred twenty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 601 624 1202 1248 1803 2404 3606 4808 7212 7813 9616 14424 15626 19232 23439 28848 31252 46878 57696 62504 93756 125008 187512 250016 375024 750048 160017919 320035838 480053757 640071676 960107514 1280143352 1920215028 2080232947 2560286704 3840430056 4160465894 5120573408 6240698841 7680860112 8320931788 12481397682 15361720224 16641863576 24962795364 33283727152 49925590728 66567454304 96170769319 99851181456 192341538638 199702362912 288512307957 384683077276 577024615914 769366154552 1154049231828 1250220001147 1538732309104 2308098463656 2500440002294 3077464618208 3750660003441 4616196927312 5000880004588 7501320006882 9232393854624 10001760009176 15002640013764 20003520018352 30005280027528 40007040036704 60010560055056 120021120110112