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121122111020120 = 2357462193611549
BaseRepresentation
bin11011100010100011110000…
…011001101101110001011000
3120212212011100011122000010022
4123202203300121231301120
5111333431040410120440
61105334421334210012
734340532552401210
oct3342436031556130
9525764304560108
10121122111020120
1135658665029951
1211702339ab3908
1352779c60586b2
1421ca4acd37240
15e009e6364cb5
hex6e28f066dc58

121122111020120 has 64 divisors (see below), whose sum is σ = 311524260552000. Its totient is φ = 41518593768960.

The previous prime is 121122111020117. The next prime is 121122111020123. The reversal of 121122111020120 is 21020111221121.

It is an interprime number because it is at equal distance from previous prime (121122111020117) and next prime (121122111020123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122111020123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45511895 + ... + 48099654.

It is an arithmetic number, because the mean of its divisors is an integer number (4867566571125).

Almost surely, 2121122111020120 is an apocalyptic number.

121122111020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122111020120 is an abundant number, since it is smaller than the sum of its proper divisors (190402149531880).

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

121122111020120 is a wasteful number, since it uses less digits than its factorization.

121122111020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93616188 (or 93616184 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 121122111020120 its reverse (21020111221121), we get a palindrome (142142222241241).

The spelling of 121122111020120 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred eleven million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 4621 9242 18484 23105 32347 36968 46210 64694 92420 129388 161735 184840 258776 323470 646940 1293880 93611549 187223098 374446196 468057745 655280843 748892392 936115490 1310561686 1872230980 2621123372 3276404215 3744461960 5242246744 6552808430 13105616860 26211233720 432578967929 865157935858 1730315871716 2162894839645 3028052775503 3460631743432 4325789679290 6056105551006 8651579358580 12112211102012 15140263877515 17303158717160 24224422204024 30280527755030 60561055510060 121122111020120