Search a number
-
+
122220122112120 = 23351795689949819
BaseRepresentation
bin11011110010100010010110…
…111101101000000001111000
3121000202010111110012202222210
4123302202112331220001320
5112004423302230041440
61111535052102415120
734513053363602154
oct3362422675500170
9530663443182883
10122220122112120
1135a4129872991a
121185b0b37314a0
135327400a71216
1422276b21d2064
15e1e35c3e4a80
hex6f2896f68078

122220122112120 has 64 divisors (see below), whose sum is σ = 368708748336000. Its totient is φ = 32409954163328.

The previous prime is 122220122112047. The next prime is 122220122112167. The reversal of 122220122112120 is 21211221022221.

122220122112120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2844953430 + ... + 2844996389.

It is an arithmetic number, because the mean of its divisors is an integer number (5761074192750).

Almost surely, 2122220122112120 is an apocalyptic number.

122220122112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220122112120 is an abundant number, since it is smaller than the sum of its proper divisors (246488626223880).

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

122220122112120 is a wasteful number, since it uses less digits than its factorization.

122220122112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689950012 (or 5689950008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122220122112120 its reverse (21211221022221), we get a palindrome (143431343134341).

The spelling of 122220122112120 in words is "one hundred twenty-two trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 895 1074 1432 1790 2148 2685 3580 4296 5370 7160 10740 21480 5689949819 11379899638 17069849457 22759799276 28449749095 34139698914 45519598552 56899498190 68279397828 85349247285 113798996380 136558795656 170698494570 227597992760 341396989140 682793978280 1018501017601 2037002035202 3055503052803 4074004070404 5092505088005 6111006105606 8148008140808 10185010176010 12222012211212 15277515264015 20370020352020 24444024422424 30555030528030 40740040704040 61110061056060 122220122112120