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20120122212210 = 2325232659641279
BaseRepresentation
bin1001001001100100101001…
…01111001011111101110010
32122020110112220121010210100
410210302110233023331302
510114122002241242320
6110443020114013230
74144426246001046
oct444622457137562
978213486533710
1020120122212210
116457994504a89
12230b4b8277216
13b2c41c8bac07
144d7b678d8026
1524d58592c790
hex124c94bcbf72

20120122212210 has 144 divisors (see below), whose sum is σ = 54768723609600. Its totient is φ = 5124293461056.

The previous prime is 20120122212209. The next prime is 20120122212241. The reversal of 20120122212210 is 1221222102102.

It is a happy number.

20120122212210 is a `hidden beast` number, since 2 + 0 + 120 + 122 + 212 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31054351 + ... + 31695629.

It is an arithmetic number, because the mean of its divisors is an integer number (380338358400).

Almost surely, 220120122212210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20120122212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27384361804800).

20120122212210 is an abundant number, since it is smaller than the sum of its proper divisors (34648601397390).

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

20120122212210 is a wasteful number, since it uses less digits than its factorization.

20120122212210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641997 (or 641971 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20120122212210 its reverse (1221222102102), we get a palindrome (21341344314312).

The spelling of 20120122212210 in words is "twenty trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 529 659 690 1035 1058 1318 1587 1977 2070 2645 3174 3295 3954 4761 5290 5931 6590 7935 9522 9885 11862 15157 15870 19770 23805 29655 30314 45471 47610 59310 75785 90942 136413 151570 227355 272826 348611 454710 641279 682065 697222 1045833 1282558 1364130 1743055 1923837 2091666 3137499 3206395 3486110 3847674 5229165 5771511 6274998 6412790 9619185 10458330 11543022 14749417 15687495 19238370 28857555 29498834 31374990 44248251 57715110 73747085 88496502 132744753 147494170 221241255 265489506 339236591 422602861 442482510 663723765 678473182 845205722 1017709773 1267808583 1327447530 1696182955 2035419546 2113014305 2535617166 3053129319 3392365910 3803425749 4226028610 5088548865 6106258638 6339042915 7606851498 9719865803 10177097730 12678085830 15265646595 19017128745 19439731606 29159597409 30531293190 38034257490 48599329015 58319194818 87478792227 97198658030 145797987045 174957584454 223556913469 291595974090 437393961135 447113826938 670670740407 874787922270 1117784567345 1341341480814 2012012221221 2235569134690 3353353702035 4024024442442 6706707404070 10060061106105 20120122212210