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12210122300334 = 2373179801117517
BaseRepresentation
bin1011000110101110010000…
…0000001001101110101110
31121020021110102020220221020
42301223210000021232232
53100022312302102314
641545130332115010
72400103133053140
oct261534400115656
947207412226836
1012210122300334
1139883137a3072
1214524a1305a66
136a7542b4a18a
14302d8a17ac90
1516292ed5eda9
hexb1ae4009bae

12210122300334 has 64 divisors (see below), whose sum is σ = 28809742651392. Its totient is φ = 3375999648000.

The previous prime is 12210122300323. The next prime is 12210122300357. The reversal of 12210122300334 is 43300322101221.

It is a super-2 number, since 2×122101223003342 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 103842144 + ... + 103959660.

It is an arithmetic number, because the mean of its divisors is an integer number (450152228928).

Almost surely, 212210122300334 is an apocalyptic number.

12210122300334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12210122300334 is an abundant number, since it is smaller than the sum of its proper divisors (16599620351058).

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

12210122300334 is a wasteful number, since it uses less digits than its factorization.

12210122300334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197361.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12210122300334 its reverse (43300322101221), we get a palindrome (55510444401555).

The spelling of 12210122300334 in words is "twelve trillion, two hundred ten billion, one hundred twenty-two million, three hundred thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 79801 117517 159602 235034 239403 352551 478806 558607 705102 822619 1117214 1645238 1675821 2467857 2473831 3351642 3643027 4935714 4947662 7286054 7421493 10929081 14842986 17316817 21858162 25501189 34633634 51002378 51950451 76503567 103900902 153007134 9377974117 18755948234 28133922351 56267844702 65645818819 131291637638 196937456457 290717197627 393874912914 581434395254 872151592881 1744303185762 2035020383389 4070040766778 6105061150167 12210122300334