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122120222120 = 23513829283289
BaseRepresentation
bin111000110111011101…
…1101011010110101000
3102200012202202001110122
41301232323223112220
54000100234101440
6132033512102412
711552152522001
oct1615673532650
9380182661418
10122120222120
1147877755406
121b801994a08
13b692535780
145ca6b781a8
15329b1b47b5
hex1c6eeeb5a8

122120222120 has 64 divisors (see below), whose sum is σ = 296264682000. Its totient is φ = 45035993088.

The previous prime is 122120222101. The next prime is 122120222167. The reversal of 122120222120 is 21222021221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15897679396 + 106222542724 = 126086^2 + 325918^2 .

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, 289436 + ... + 572724.

Almost surely, 2122120222120 is an apocalyptic number.

122120222120 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 122120222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148132341000).

122120222120 is an abundant number, since it is smaller than the sum of its proper divisors (174144459880).

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

122120222120 is a wasteful number, since it uses less digits than its factorization.

122120222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284142 (or 284138 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122120222120 its reverse (21222021221), we get a palindrome (143342243341).

The spelling of 122120222120 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 829 1658 3316 4145 6632 8290 10777 16580 21554 33160 43108 53885 86216 107770 215540 283289 431080 566578 1133156 1416445 2266312 2832890 3682757 5665780 7365514 11331560 14731028 18413785 29462056 36827570 73655140 147310280 234846581 469693162 939386324 1174232905 1878772648 2348465810 3053005553 4696931620 6106011106 9393863240 12212022212 15265027765 24424044424 30530055530 61060111060 122120222120