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202212122122122 = 23717223724322903
BaseRepresentation
bin101101111110100100101101…
…101101010101011110001010
3222111222021211110200012102220
4231332210231231111132022
5203001020411230401442
61554022544431434510
760410225615153520
oct5576445555253612
9874867743605386
10202212122122122
1159481752308082
121a81a092685a36
1388aa6a1394a38
1437d11944c2310
15185a004835eec
hexb7e92db5578a

202212122122122 has 96 divisors (see below), whose sum is σ = 512333871040512. Its totient is φ = 52012178946816.

The previous prime is 202212122122111. The next prime is 202212122122123. The reversal of 202212122122122 is 221221221212202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202212122122092 and 202212122122101.

It is not an unprimeable number, because it can be changed into a prime (202212122122123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361882278 + ... + 362440625.

It is an arithmetic number, because the mean of its divisors is an integer number (5336811156672).

Almost surely, 2202212122122122 is an apocalyptic number.

202212122122122 is an abundant number, since it is smaller than the sum of its proper divisors (310121748918390).

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

202212122122122 is a wasteful number, since it uses less digits than its factorization.

202212122122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724322972 (or 724322955 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 202212122122122 its reverse (221221221212202), we get a palindrome (423433343334324).

The spelling of 202212122122122 in words is "two hundred two trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 238 289 322 357 391 483 578 714 782 867 966 1173 1734 2023 2346 2737 4046 5474 6069 6647 8211 12138 13294 16422 19941 39882 46529 93058 139587 279174 724322903 1448645806 2172968709 4345937418 5070260321 10140520642 12313489351 15210780963 16659426769 24626978702 30421561926 33318853538 36940468053 49978280307 73880936106 86194425457 99956560614 116615987383 172388850914 209329318967 233231974766 258583276371 283210255073 349847962149 418658637934 517166552742 566420510146 627987956901 699695924298 849630765219 1255975913802 1465305232769 1699261530438 1982471785511 2930610465538 3964943571022 4395915698307 4814574336241 5947415356533 8791831396614 9629148672482 11894830713066 14443723008723 28887446017446 33702020353687 67404040707374 101106061061061 202212122122122