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122120112220 = 225471071214159
BaseRepresentation
bin111000110111011101…
…1010000100001011100
3102200012202112110201021
41301232323100201130
54000100222042340
6132033505453524
711552151553411
oct1615673204134
9380182473637
10122120112220
114787768a887
121b8019412a4
13b6924c7742
145ca6b4a108
15329b191e4a
hex1c6eed085c

122120112220 has 48 divisors (see below), whose sum is σ = 264356628480. Its totient is φ = 47361875264.

The previous prime is 122120112193. The next prime is 122120112223. The reversal of 122120112220 is 22211021221.

It is a happy number.

122120112220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122120112194 and 122120112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120112223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 506500 + ... + 707659.

It is an arithmetic number, because the mean of its divisors is an integer number (5507429760).

Almost surely, 2122120112220 is an apocalyptic number.

122120112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120112220 is an abundant number, since it is smaller than the sum of its proper divisors (142236516260).

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

122120112220 is a wasteful number, since it uses less digits than its factorization.

122120112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214322 (or 1214320 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122120112220 its reverse (22211021221), we get a palindrome (144331133441).

Subtracting from 122120112220 its reverse (22211021221), we obtain a palindrome (99909090999).

The spelling of 122120112220 in words is "one hundred twenty-two billion, one hundred twenty million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 47 94 107 188 214 235 428 470 535 940 1070 2140 5029 10058 20116 25145 50290 100580 1214159 2428318 4856636 6070795 12141590 24283180 57065473 114130946 129915013 228261892 259830026 285327365 519660052 570654730 649575065 1141309460 1299150130 2598300260 6106005611 12212011222 24424022444 30530028055 61060056110 122120112220