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120212011102212 = 223219400157439199
BaseRepresentation
bin11011010101010100001010…
…001110000011000000000100
3120202122011012202001221011100
4123111110022032003000010
5111224023144320232322
61103400345134340100
734215013461624651
oct3325241216030004
9522564182057140
10120212011102212
113533769a38a267
1211595a8735a630
13520cc36c99b03
14219841441cc28
15dd6ecc2dedac
hex6d550a383004

120212011102212 has 72 divisors (see below), whose sum is σ = 319863896352000. Its totient is φ = 37961506415808.

The previous prime is 120212011102199. The next prime is 120212011102247. The reversal of 120212011102212 is 212201110212021.

120212011102212 is a `hidden beast` number, since 120 + 21 + 201 + 110 + 2 + 212 = 666.

120212011102212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1202120111022122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273487789 + ... + 273926987.

It is an arithmetic number, because the mean of its divisors is an integer number (4442554116000).

Almost surely, 2120212011102212 is an apocalyptic number.

120212011102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120212011102212 is an abundant number, since it is smaller than the sum of its proper divisors (199651885249788).

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

120212011102212 is a wasteful number, since it uses less digits than its factorization.

120212011102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839385 (or 839380 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120212011102212 its reverse (212201110212021), we get a palindrome (332413121314233).

The spelling of 120212011102212 in words is "one hundred twenty trillion, two hundred twelve billion, eleven million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 400157 439199 800314 878398 1200471 1317597 1600628 1756796 2400942 2635194 3601413 3952791 4801884 5270388 7202826 7602983 7905582 8344781 14405652 15205966 15811164 16689562 22808949 25034343 30411932 33379124 45617898 50068686 68426847 75103029 91235796 100137372 136853694 150206058 273707388 300412116 175748554243 351497108486 527245662729 702994216972 1054491325458 1581736988187 2108982650916 3163473976374 3339222530617 6326947952748 6678445061234 10017667591851 13356890122468 20035335183702 30053002775553 40070670367404 60106005551106 120212011102212