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122110112102020 = 225716722723008127
BaseRepresentation
bin11011110000111011111001…
…110110101111011010000100
3121000100121112122222020100021
4123300323321312233122010
5112001123002144231040
61111412335554224524
734502110261130560
oct3360737166573204
9530317478866307
10122110112102020
11359a9675971aa9
1211841911585144
135319c1b47aca3
1422222379646a0
15e1b56e4c124a
hex6f0ef9daf684

122110112102020 has 96 divisors (see below), whose sum is σ = 296117920530432. Its totient is φ = 41432297040768.

The previous prime is 122110112101993. The next prime is 122110112102107. The reversal of 122110112102020 is 20201211011221.

122110112102020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122110112101985 and 122110112102003.

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, 6196804 + ... + 16811323.

It is an arithmetic number, because the mean of its divisors is an integer number (3084561672192).

Almost surely, 2122110112102020 is an apocalyptic number.

122110112102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122110112102020 is an abundant number, since it is smaller than the sum of its proper divisors (174007808428412).

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

122110112102020 is a wasteful number, since it uses less digits than its factorization.

122110112102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23008537 (or 23008535 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122110112102020 its reverse (20201211011221), we get a palindrome (142311323113241).

The spelling of 122110112102020 in words is "one hundred twenty-two trillion, one hundred ten billion, one hundred twelve million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 167 227 334 454 668 835 908 1135 1169 1589 1670 2270 2338 3178 3340 4540 4676 5845 6356 7945 11690 15890 23380 31780 37909 75818 151636 189545 265363 379090 530726 758180 1061452 1326815 2653630 5307260 23008127 46016254 92032508 115040635 161056889 230081270 322113778 460162540 644227556 805284445 1610568890 3221137780 3842357209 5222844829 7684714418 10445689658 15369428836 19211786045 20891379316 26114224145 26896500463 36559913803 38423572090 52228448290 53793000926 73119827606 76847144180 104456896580 107586001852 134482502315 146239655212 182799569015 268965004630 365599138030 537930009260 731198276060 872215086443 1744430172886 3488860345772 4361075432215 6105505605101 8722150864430 12211011210202 17444301728860 24422022420404 30527528025505 61055056051010 122110112102020