Search a number
-
+
120022112122120 = 23513835087546661
BaseRepresentation
bin11011010010100011010011…
…010110111011010100001000
3120201222000001100122020001101
4123102203103112323110020
5111212420241200401440
61103133221440231144
734165211553133405
oct3322432326732410
9521860040566041
10120022112122120
11352741013608aa
121156510a60b4b4
1351c8062577bc0
14218d15ba792ac
15dd20b5a3069a
hex6d28d35bb508

120022112122120 has 128 divisors (see below), whose sum is σ = 294385096535040. Its totient is φ = 43773244093440.

The previous prime is 120022112121953. The next prime is 120022112122139. The reversal of 120022112122120 is 21221211220021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219281590 + ... + 219828250.

It is an arithmetic number, because the mean of its divisors is an integer number (2299883566680).

Almost surely, 2120022112122120 is an apocalyptic number.

120022112122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120022112122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147192548267520).

120022112122120 is an abundant number, since it is smaller than the sum of its proper divisors (174362984412920).

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

120022112122120 is a wasteful number, since it uses less digits than its factorization.

120022112122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551855 (or 551851 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 120022112122120 its reverse (21221211220021), we get a palindrome (141243323342141).

The spelling of 120022112122120 in words is "one hundred twenty trillion, twenty-two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 83 104 130 166 260 332 415 520 664 830 1079 1660 2158 3320 4316 5087 5395 8632 10174 10790 20348 21580 25435 40696 43160 50870 66131 101740 132262 203480 264524 330655 422221 529048 546661 661310 844442 1093322 1322620 1688884 2111105 2186644 2645240 2733305 3377768 4222210 4373288 5466610 5488873 7106593 8444420 10933220 10977746 14213186 16888840 21866440 21955492 27444365 28426372 35532965 43910984 45372863 54888730 56852744 71065930 90745726 109777460 142131860 181491452 219554920 226864315 284263720 362982904 453728630 589847219 907457260 1179694438 1814914520 2359388876 2780864507 2949236095 4718777752 5561729014 5898472190 11123458028 11796944380 13904322535 22246916056 23593888760 27808645070 36151238591 55617290140 72302477182 111234580280 144604954364 180756192955 230811754081 289209908728 361512385910 461623508162 723024771820 923247016324 1154058770405 1446049543640 1846494032648 2308117540810 3000552803053 4616235081620 6001105606106 9232470163240 12002211212212 15002764015265 24004422424424 30005528030530 60011056061060 120022112122120