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122210110120 = 23572341318269
BaseRepresentation
bin111000111010001001…
…0100100101010101000
3102200110000212211121211
41301310102210222220
54000241242010440
6132050442442504
711554323540100
oct1616422445250
9380400784554
10122210110120
114791346a60a
121b827b03434
13b6a8048737
145cb4a96200
1532a401ceea
hex1c744a4aa8

122210110120 has 96 divisors (see below), whose sum is σ = 319977491400. Its totient is φ = 41886039552.

The previous prime is 122210110117. The next prime is 122210110163. The reversal of 122210110120 is 21011012221.

It can be written as a sum of positive squares in 4 ways, for example, as 121512199396 + 697910724 = 348586^2 + 26418^2 .

It is a super-2 number, since 2×1222101101202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122210110120.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6680346 + ... + 6698614.

Almost surely, 2122210110120 is an apocalyptic number.

122210110120 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 122210110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159988745700).

122210110120 is an abundant number, since it is smaller than the sum of its proper divisors (197767381280).

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

122210110120 is a wasteful number, since it uses less digits than its factorization.

122210110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21707 (or 21696 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122210110120 its reverse (21011012221), we get a palindrome (143221122341).

The spelling of 122210110120 in words is "one hundred twenty-two billion, two hundred ten million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 3413 6826 13652 17065 18269 23891 27304 34130 36538 47782 68260 73076 91345 95564 119455 127883 136520 146152 167237 182690 191128 238910 255766 334474 365380 477820 511532 639415 668948 730760 836185 895181 955640 1023064 1278830 1337896 1672370 1790362 2557660 3344740 3580724 4475905 5115320 6689480 7161448 8951810 17903620 35807240 62352097 124704194 249408388 311760485 436464679 498816776 623520970 872929358 1247041940 1745858716 2182323395 2494083880 3055252753 3491717432 4364646790 6110505506 8729293580 12221011012 15276263765 17458587160 24442022024 30552527530 61105055060 122210110120