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120211112032212 = 223331300471007243
BaseRepresentation
bin11011010101010011010100…
…101000010111011111010100
3120202122001220002022102222110
4123111103110220113133110
5111224014324140012322
61103400120020231020
734214652263641425
oct3325232450273724
9522561802272873
10120211112032212
1135337278932703
121159587623b470
13520cb2293a826
14219836ac6564c
15dd6e783e8c0c
hex6d54d4a177d4

120211112032212 has 48 divisors (see below), whose sum is σ = 281349647050752. Its totient is φ = 39947942934240.

The previous prime is 120211112032171. The next prime is 120211112032213. The reversal of 120211112032212 is 212230211112021.

It is a super-3 number, since 3×1202111120322123 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120211112032213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118843063 + ... + 119850305.

It is an arithmetic number, because the mean of its divisors is an integer number (5861450980224).

Almost surely, 2120211112032212 is an apocalyptic number.

120211112032212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120211112032212 is an abundant number, since it is smaller than the sum of its proper divisors (161138535018540).

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

120211112032212 is a wasteful number, since it uses less digits than its factorization.

120211112032212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037628 (or 1037626 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 120211112032212 its reverse (212230211112021), we get a palindrome (332441323144233).

The spelling of 120211112032212 in words is "one hundred twenty trillion, two hundred eleven billion, one hundred twelve million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 331 662 993 1324 1986 3972 30047 60094 90141 120188 180282 360564 1007243 2014486 3021729 4028972 6043458 9945557 12086916 19891114 29836671 39782228 59673342 119346684 333397433 666794866 1000192299 1333589732 2000384598 4000769196 30264630421 60529260842 90793891263 121058521684 181587782526 363175565052 10017592669351 20035185338702 30052778008053 40070370677404 60105556016106 120211112032212