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121123311103212 = 223112933678533361
BaseRepresentation
bin11011100010100100110111…
…111011101010110011101100
3120212212021102210210112122020
4123202210313323222303230
5111333441020120300322
61105335140404150140
734340604364053555
oct3342446773526354
9525767383715566
10121123311103212
1135659120492060
1211702613998350
135277b5787b932
1421ca58448932c
15e00a668ba05c
hex6e2937eeacec

121123311103212 has 96 divisors (see below), whose sum is σ = 310209144505344. Its totient is φ = 36479089996800.

The previous prime is 121123311103139. The next prime is 121123311103297. The reversal of 121123311103212 is 212301113321121.

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, 9927412 + ... + 18460772.

It is an arithmetic number, because the mean of its divisors is an integer number (3231345255264).

Almost surely, 2121123311103212 is an apocalyptic number.

121123311103212 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 121123311103212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155104572252672).

121123311103212 is an abundant number, since it is smaller than the sum of its proper divisors (189085833402132).

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

121123311103212 is a wasteful number, since it uses less digits than its factorization.

121123311103212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8534039 (or 8534037 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 121123311103212 its reverse (212301113321121), we get a palindrome (333424424424333).

The spelling of 121123311103212 in words is "one hundred twenty-one trillion, one hundred twenty-three billion, three hundred eleven million, one hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 293 367 586 734 879 1101 1172 1468 1758 2202 3223 3516 4037 4404 6446 8074 9669 12111 12892 16148 19338 24222 38676 48444 107531 215062 322593 430124 645186 1182841 1290372 2365682 3548523 4731364 7097046 8533361 14194092 17066722 25600083 34133444 51200166 93866971 102400332 187733942 281600913 375467884 563201826 1126403652 2500274773 3131743487 5000549546 6263486974 7500824319 9395230461 10001099092 12526973948 15001648638 18790460922 27503022503 30003297276 34449178357 37580921844 55006045006 68898356714 82509067509 103347535071 110012090012 137796713428 165018135018 206695070142 330036270036 413390140284 917600841691 1835201683382 2752802525073 3670403366764 5505605050146 10093609258601 11011210100292 20187218517202 30280827775803 40374437034404 60561655551606 121123311103212