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122102012120 = 235112391161107
BaseRepresentation
bin111000110110111011…
…0001101100011011000
3102200011111110220001012
41301231312031203120
54000031103341440
6132032021513052
711551541656424
oct1615566154330
9380144426035
10122102012120
1147868447a20
121b7b7872788
13b68b82b01a
145ca4597b84
1532997b8e65
hex1c6dd8d8d8

122102012120 has 64 divisors (see below), whose sum is σ = 300959193600. Its totient is φ = 44214916480.

The previous prime is 122102012101. The next prime is 122102012183. The reversal of 122102012120 is 21210201221.

It is a super-3 number, since 3×1221020121203 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122102012095 and 122102012104.

It is a congruent number.

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, 475394 + ... + 685713.

It is an arithmetic number, because the mean of its divisors is an integer number (4702487400).

Almost surely, 2122102012120 is an apocalyptic number.

122102012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102012120 is an abundant number, since it is smaller than the sum of its proper divisors (178857181480).

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

122102012120 is a wasteful number, since it uses less digits than its factorization.

122102012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161368 (or 1161364 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122102012120 its reverse (21210201221), we get a palindrome (143312213341).

The spelling of 122102012120 in words is "one hundred twenty-two billion, one hundred two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 239 440 478 956 1195 1912 2390 2629 4780 5258 9560 10516 13145 21032 26290 52580 105160 1161107 2322214 4644428 5805535 9288856 11611070 12772177 23222140 25544354 46444280 51088708 63860885 102177416 127721770 255443540 277504573 510887080 555009146 1110018292 1387522865 2220036584 2775045730 3052550303 5550091460 6105100606 11100182920 12210201212 15262751515 24420402424 30525503030 61051006060 122102012120