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202212120100122 = 23411210315892261
BaseRepresentation
bin101101111110100100101101…
…100101100111110100011010
3222111222021211022212110210000
4231332210231211213310122
5203001020410221200442
61554022544320233430
760410225562032466
oct5576445545476432
9874867738773700
10202212120100122
1159481751156a00
121a81a091a6b876
1388aa6a0b375a2
1437d11941174a6
15185a004586d4c
hexb7e92d967d1a

202212120100122 has 60 divisors (see below), whose sum is σ = 498040962517098. Its totient is φ = 61276400024400.

The previous prime is 202212120100079. The next prime is 202212120100157. The reversal of 202212120100122 is 221001021212202.

It is a happy number.

202212120100122 is a `hidden beast` number, since 202 + 212 + 120 + 10 + 0 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 172045431658881 + 30166688441241 = 13116609^2 + 5492421^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 202212120100095 and 202212120100104.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5157926529 + ... + 5157965732.

Almost surely, 2202212120100122 is an apocalyptic number.

202212120100122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

202212120100122 is an abundant number, since it is smaller than the sum of its proper divisors (295828842416976).

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

202212120100122 is a wasteful number, since it uses less digits than its factorization.

202212120100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10315892297 (or 10315892277 counting only the distinct ones).

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

Adding to 202212120100122 its reverse (221001021212202), we get a palindrome (423213141312324).

The spelling of 202212120100122 in words is "two hundred two trillion, two hundred twelve billion, one hundred twenty million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 726 891 1089 1782 2178 3267 6534 9801 19602 10315892261 20631784522 30947676783 61895353566 92843030349 113474814871 185686060698 226949629742 278529091047 340424444613 557058182094 680848889226 835587273141 1021273333839 1248222963581 1671174546282 2042546667678 2496445927162 3063820001517 3744668890743 6127640003034 7489337781486 9191460004551 11234006672229 18382920009102 22468013344458 33702020016687 67404040033374 101106060050061 202212120100122