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121112001112212 = 223211761401890127
BaseRepresentation
bin11011100010011010010101…
…110011011110100010010100
3120212211012020121001110200200
4123202122111303132202110
5111333244334241042322
61105330030223540500
734340024201530065
oct3342322563364224
9525735217043620
10121112001112212
1135654347276460
121170039815a730
135276a74668a76
1421c9bd036456c
15e006039e68ac
hex6e2695cde894

121112001112212 has 72 divisors (see below), whose sum is σ = 334414383069312. Its totient is φ = 36652379491200.

The previous prime is 121112001112187. The next prime is 121112001112213. The reversal of 121112001112212 is 212211100211121.

It is a happy number.

121112001112212 is a `hidden beast` number, since 1 + 211 + 120 + 0 + 111 + 221 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121112001112213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200643708 + ... + 201246419.

It is an arithmetic number, because the mean of its divisors is an integer number (4644644209296).

Almost surely, 2121112001112212 is an apocalyptic number.

121112001112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121112001112212 is an abundant number, since it is smaller than the sum of its proper divisors (213302381957100).

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

121112001112212 is a wasteful number, since it uses less digits than its factorization.

121112001112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401890909 (or 401890904 counting only the distinct ones).

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

Adding to 121112001112212 its reverse (212211100211121), we get a palindrome (333323101323333).

The spelling of 121112001112212 in words is "one hundred twenty-one trillion, one hundred twelve billion, one million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 761 1522 2283 3044 4566 6849 8371 9132 13698 16742 25113 27396 33484 50226 75339 100452 150678 301356 401890127 803780254 1205670381 1607560508 2411340762 3617011143 4420791397 4822681524 7234022286 8841582794 13262374191 14468044572 17683165588 26524748382 39787122573 53049496764 79574245146 159148490292 305838386647 611676773294 917515159941 1223353546588 1835030319882 2752545479823 3364222253117 3670060639764 5505090959646 6728444506234 10092666759351 11010181919292 13456889012468 20185333518702 30278000278053 40370667037404 60556000556106 121112001112212