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12012231020104 = 23717251336114957
BaseRepresentation
bin1010111011001101000011…
…0000110100111001001000
31120112100200000220022011001
42232303100300310321020
53033302022120120404
641314202011144344
72346566165661160
oct256632060647110
946470600808131
1012012231020104
1139113a4286287
121420073a450b4
1369199667caa3
142d75761755a0
1515c6ebac67a4
hexaecd0c34e48

12012231020104 has 128 divisors (see below), whose sum is σ = 27373197438720. Its totient is φ = 4824207360000.

The previous prime is 12012231020077. The next prime is 12012231020123. The reversal of 12012231020104 is 40102013221021.

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, 803110194 + ... + 803125150.

It is an arithmetic number, because the mean of its divisors is an integer number (213853104990).

Almost surely, 212012231020104 is an apocalyptic number.

12012231020104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012231020104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13686598719360).

12012231020104 is an abundant number, since it is smaller than the sum of its proper divisors (15360966418616).

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

12012231020104 is a wasteful number, since it uses less digits than its factorization.

12012231020104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18599 (or 18595 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12012231020104 its reverse (40102013221021), we get a palindrome (52114244241125).

The spelling of 12012231020104 in words is "twelve trillion, twelve billion, two hundred thirty-one million, twenty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 251 476 502 952 1004 1757 2008 3361 3514 4267 6722 7028 8534 13444 14056 14957 17068 23527 26888 29869 29914 34136 47054 57137 59738 59828 94108 104699 114274 119476 119656 188216 209398 228548 238952 254269 399959 418796 457096 508538 799918 837592 843611 1017076 1599836 1687222 1779883 2034152 3199672 3374444 3559766 3754207 5905277 6748888 7119532 7508414 11810554 14239064 14341387 15016828 23621108 26279449 28682774 30033656 47242216 50270477 52558898 57365548 63821519 100389709 100540954 105117796 114731096 127643038 200779418 201081908 210235592 255286076 351893339 401558836 402163816 446750633 510572152 703786678 803117672 854598109 893501266 1407573356 1709196218 1787002532 2815146712 3418392436 3574005064 5982186763 6836784872 11964373526 12617889727 23928747052 25235779454 47857494104 50471558908 88325228089 100943117816 176650456178 214504125359 353300912356 429008250718 706601824712 858016501436 1501528877513 1716033002872 3003057755026 6006115510052 12012231020104