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122111102120 = 23571423306473
BaseRepresentation
bin111000110111001100…
…0111000110010101000
3102200012010120201011212
41301232120320302220
54000040420231440
6132032544412252
711552012146040
oct1615630706250
9380163521155
10122111102120
1147872596417
121b7ba917088
13b690691617
145ca5882720
15329a4b2465
hex1c6e638ca8

122111102120 has 64 divisors (see below), whose sum is σ = 314221662720. Its totient is φ = 41837105664.

The previous prime is 122111102089. The next prime is 122111102149. The reversal of 122111102120 is 21201111221.

It is a super-2 number, since 2×1221111021202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 122111102095 and 122111102104.

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, 245204 + ... + 551676.

It is an arithmetic number, because the mean of its divisors is an integer number (4909713480).

Almost surely, 2122111102120 is an apocalyptic number.

122111102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111102120 is an abundant number, since it is smaller than the sum of its proper divisors (192110560600).

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

122111102120 is a wasteful number, since it uses less digits than its factorization.

122111102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307914 (or 307910 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122111102120 its reverse (21201111221), we get a palindrome (143312213341).

The spelling of 122111102120 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1423 2846 5692 7115 9961 11384 14230 19922 28460 39844 49805 56920 79688 99610 199220 306473 398440 612946 1225892 1532365 2145311 2451784 3064730 4290622 6129460 8581244 10726555 12258920 17162488 21453110 42906220 85812440 436111079 872222158 1744444316 2180555395 3052777553 3488888632 4361110790 6105555106 8722221580 12211110212 15263887765 17444443160 24422220424 30527775530 61055551060 122111102120