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122002110120 = 233511239386719
BaseRepresentation
bin111000110011111100…
…1000111011010101000
3102122220112111100021010
41301213321013122220
53444330020010440
6132014052343520
711546216553102
oct1614771073250
9378815440233
10122002110120
1147817013090
121b78a314ba0
13b673c20007
145c951d0572
153290b33580
hex1c67e476a8

122002110120 has 128 divisors (see below), whose sum is σ = 400951296000. Its totient is φ = 29452442880.

The previous prime is 122002110107. The next prime is 122002110127. The reversal of 122002110120 is 21011200221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122002110096 and 122002110105.

It is not an unprimeable number, because it can be changed into a prime (122002110127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122121 + ... + 508839.

It is an arithmetic number, because the mean of its divisors is an integer number (3132432000).

Almost surely, 2122002110120 is an apocalyptic number.

122002110120 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 122002110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200475648000).

122002110120 is an abundant number, since it is smaller than the sum of its proper divisors (278949185880).

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

122002110120 is a wasteful number, since it uses less digits than its factorization.

122002110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386983 (or 386979 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122002110120 its reverse (21011200221), we get a palindrome (143013310341).

The spelling of 122002110120 in words is "one hundred twenty-two billion, two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 239 264 330 440 478 660 717 956 1195 1320 1434 1912 2390 2629 2868 3585 4780 5258 5736 7170 7887 9560 10516 13145 14340 15774 21032 26290 28680 31548 39435 52580 63096 78870 105160 157740 315480 386719 773438 1160157 1546876 1933595 2320314 3093752 3867190 4253909 4640628 5800785 7734380 8507818 9281256 11601570 12761727 15468760 17015636 21269545 23203140 25523454 34031272 42539090 46406280 51046908 63808635 85078180 92425841 102093816 127617270 170156360 184851682 255234540 277277523 369703364 462129205 510469080 554555046 739406728 924258410 1016684251 1109110092 1386387615 1848516820 2033368502 2218220184 2772775230 3050052753 3697033640 4066737004 5083421255 5545550460 6100105506 8133474008 10166842510 11091100920 12200211012 15250263765 20333685020 24400422024 30500527530 40667370040 61001055060 122002110120