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121112100212112 = 24322912328879451
BaseRepresentation
bin11011100010011010011011…
…101101100000110110010000
3120212211012111111112021012100
4123202122123231200312100
5111333300040123241422
61105330044124000400
734340026514053062
oct3342323355406620
9525735444467170
10121112100212112
11356543982026a9
1211700405390100
135276a8c055969
1421c9bdd59d732
15e0060c56e7ac
hex6e269bb60d90

121112100212112 has 60 divisors (see below), whose sum is σ = 338957319499344. Its totient is φ = 40369312459200.

The previous prime is 121112100212071. The next prime is 121112100212119. The reversal of 121112100212112 is 211212001211121.

It is a happy number.

121112100212112 is a `hidden beast` number, since 121 + 11 + 210 + 0 + 212 + 112 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (121112100212119) 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 11 ways as a sum of consecutive naturals, for example, 10246014 + ... + 18633437.

Almost surely, 2121112100212112 is an apocalyptic number.

121112100212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121112100212112 is an abundant number, since it is smaller than the sum of its proper divisors (217845219287232).

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

121112100212112 is a wasteful number, since it uses less digits than its factorization.

121112100212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28908588 (or 28908579 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121112100212112 its reverse (211212001211121), we get a palindrome (332324101423233).

Subtracting 121112100212112 from its reverse (211212001211121), we obtain a palindrome (90099900999009).

The spelling of 121112100212112 in words is "one hundred twenty-one trillion, one hundred twelve billion, one hundred million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 29123 58246 87369 116492 174738 232984 262107 349476 465968 524214 698952 1048428 1397904 2096856 4193712 28879451 57758902 86638353 115517804 173276706 231035608 259915059 346553412 462071216 519830118 693106824 1039660236 1386213648 2079320472 4158640944 841056251473 1682112502946 2523168754419 3364225005892 5046337508838 6728450011784 7569506263257 10092675017676 13456900023568 15139012526514 20185350035352 30278025053028 40370700070704 60556050106056 121112100212112