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122011100111112 = 23318150051561173
BaseRepresentation
bin11011101111011111101100…
…010001111110000100001000
3121000000010222100102221202220
4123233133230101332010020
5111443012213112023422
61111255043043454040
734462003542112212
oct3357375421760410
9530003870387686
10122011100111112
113597068720a843
121182669a687320
13531079c56a914
14221b523c0d5b2
15e18bc6d99e5c
hex6ef7ec47e108

122011100111112 has 64 divisors (see below), whose sum is σ = 306719661044160. Its totient is φ = 40444788384000.

The previous prime is 122011100111051. The next prime is 122011100111113. The reversal of 122011100111112 is 211111001110221.

It is a junction number, because it is equal to n+sod(n) for n = 122011100111091 and 122011100111100.

It is not an unprimeable number, because it can be changed into a prime (122011100111113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217140958 + ... + 217702130.

It is an arithmetic number, because the mean of its divisors is an integer number (4792494703815).

Almost surely, 2122011100111112 is an apocalyptic number.

122011100111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122011100111112 is an abundant number, since it is smaller than the sum of its proper divisors (184708560933048).

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

122011100111112 is a wasteful number, since it uses less digits than its factorization.

122011100111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611414 (or 611410 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 122011100111112 its reverse (211111001110221), we get a palindrome (333122101221333).

The spelling of 122011100111112 in words is "one hundred twenty-two trillion, eleven billion, one hundred million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 181 362 543 724 1086 1448 2172 4344 50051 100102 150153 200204 300306 400408 561173 600612 1122346 1201224 1683519 2244692 3367038 4489384 6734076 9059231 13468152 18118462 27177693 36236924 54355386 72473848 101572313 108710772 203144626 217421544 304716939 406289252 609433878 812578504 1218867756 2437735512 28087269823 56174539646 84261809469 112349079292 168523618938 224698158584 337047237876 674094475752 5083795837963 10167591675926 15251387513889 20335183351852 30502775027778 40670366703704 61005550055556 122011100111112