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122111022120 = 233523311233889
BaseRepresentation
bin111000110111001100…
…0100101010000101000
3102200012010102122102220
41301232120211100220
54000040410201440
6132032542554040
711552011363563
oct1615630452050
9380163378386
10122111022120
11478725412aa
121b7ba898920
13b690664099
145ca58614da
15329a4988d0
hex1c6e625428

122111022120 has 128 divisors (see below), whose sum is σ = 368327606400. Its totient is φ = 32385982464.

The previous prime is 122111022113. The next prime is 122111022169. The reversal of 122111022120 is 21220111221.

It is a super-2 number, since 2×1221110221202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122111022120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31397136 + ... + 31401024.

It is an arithmetic number, because the mean of its divisors is an integer number (2877559425).

Almost surely, 2122111022120 is an apocalyptic number.

122111022120 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 122111022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184163803200).

122111022120 is an abundant number, since it is smaller than the sum of its proper divisors (246216584280).

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

122111022120 is a wasteful number, since it uses less digits than its factorization.

122111022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5259 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122111022120 its reverse (21220111221), we get a palindrome (143331133341).

The spelling of 122111022120 in words is "one hundred twenty-two billion, one hundred eleven million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 466 699 932 1123 1165 1398 1864 2246 2330 2796 3369 3495 3889 4492 4660 5592 5615 6738 6990 7778 8984 9320 11230 11667 13476 13980 15556 16845 19445 22460 23334 26952 27960 31112 33690 38890 44920 46668 58335 67380 77780 93336 116670 134760 155560 233340 261659 466680 523318 784977 906137 1046636 1308295 1569954 1812274 2093272 2616590 2718411 3139908 3624548 3924885 4367347 4530685 5233180 5436822 6279816 7249096 7849770 8734694 9061370 10466360 10873644 13102041 13592055 15699540 17469388 18122740 21747288 21836735 26204082 27184110 31399080 34938776 36245480 43673470 52408164 54368220 65510205 87346940 104816328 108736440 131020410 174693880 262040820 524081640 1017591851 2035183702 3052775553 4070367404 5087959255 6105551106 8140734808 10175918510 12211102212 15263877765 20351837020 24422204424 30527755530 40703674040 61055511060 122111022120