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121121310012132 = 223149379178736741
BaseRepresentation
bin11011100010100011000000…
…101010000111001011100100
3120212212002021100101120201210
4123202203000222013023210
5111333422420330342012
61105334210041551420
734340503655056023
oct3342430052071344
9525762240346653
10121121310012132
113565829396a781
12117021557a5570
1352778c9111a81
1421ca4347c88ba
15e0099ad8e23c
hex6e28c0a872e4

121121310012132 has 48 divisors (see below), whose sum is σ = 285263840232000. Its totient is φ = 39996992730240.

The previous prime is 121121310012067. The next prime is 121121310012149. The reversal of 121121310012132 is 231210013121121.

121121310012132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 121121310012099 and 121121310012108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88690719 + ... + 90046022.

It is an arithmetic number, because the mean of its divisors is an integer number (5942996671500).

Almost surely, 2121121310012132 is an apocalyptic number.

121121310012132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121121310012132 is an abundant number, since it is smaller than the sum of its proper divisors (164142530219868).

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

121121310012132 is a wasteful number, since it uses less digits than its factorization.

121121310012132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178737276 (or 178737274 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 121121310012132 its reverse (231210013121121), we get a palindrome (352331323133253).

The spelling of 121121310012132 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, three hundred ten million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 149 298 379 447 596 758 894 1137 1516 1788 2274 4548 56471 112942 169413 225884 338826 677652 178736741 357473482 536210223 714946964 1072420446 2144840892 26631774409 53263548818 67741224839 79895323227 106527097636 135482449678 159790646454 203223674517 270964899356 319581292908 406447349034 812894698068 10093442501011 20186885002022 30280327503033 40373770004044 60560655006066 121121310012132