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12001002202212 = 22323167412963059
BaseRepresentation
bin1010111010100011001101…
…1110010010010001100100
31120111021200110220020202220
42232220303132102101210
53033111023030432322
641305103450432340
72346021010414602
oct256506336222144
946437613806686
1012001002202212
1139076619721a1
121419a5b4326b0
136908c721b24a
142d6bccb40872
1515c290dd955c
hexaea33792464

12001002202212 has 96 divisors (see below), whose sum is σ = 29402385868800. Its totient is φ = 3802512417792.

The previous prime is 12001002202183. The next prime is 12001002202219. The reversal of 12001002202212 is 21220220010021.

It is a junction number, because it is equal to n+sod(n) for n = 12001002202191 and 12001002202200.

It is not an unprimeable number, because it can be changed into a prime (12001002202219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190282339 + ... + 190345397.

It is an arithmetic number, because the mean of its divisors is an integer number (306274852800).

Almost surely, 212001002202212 is an apocalyptic number.

12001002202212 is a gapful number since it is divisible by the number (12) 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 12001002202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14701192934400).

12001002202212 is an abundant number, since it is smaller than the sum of its proper divisors (17401383666588).

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

12001002202212 is a wasteful number, since it uses less digits than its factorization.

12001002202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67385 (or 67383 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12001002202212 its reverse (21220220010021), we get a palindrome (33221222212233).

The spelling of 12001002202212 in words is "twelve trillion, one billion, two million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 167 276 334 501 668 1002 2004 3841 4129 7682 8258 11523 12387 15364 16516 23046 24774 46092 49548 63059 94967 126118 189177 189934 252236 284901 378354 379868 569802 689543 756708 1139604 1379086 1450357 2068629 2758172 2900714 4137258 4351071 5801428 8274516 8702142 10530853 15859489 17404284 21061706 31592559 31718978 42123412 47578467 63185118 63437956 95156934 126370236 190313868 242209619 260370611 484419238 520741222 726628857 781111833 968838476 1041482444 1453257714 1562223666 2906515428 3124447332 5988524053 11977048106 17965572159 23954096212 35931144318 43481892037 71862288636 86963784074 130445676111 173927568148 260891352222 521782704444 1000083516851 2000167033702 3000250550553 4000334067404 6000501101106 12001002202212