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121111230312 = 23323534765157
BaseRepresentation
bin111000011001011001…
…0101011011101101000
3102120121110010221220200
41300302302223131220
53441013433332222
6131345425552200
711515151320632
oct1606262533550
9376543127820
10121111230312
11473aa14a986
121b57baa5660
13b56149a8b7
145c0cb69a52
15323c808eac
hex1c32cab768

121111230312 has 48 divisors (see below), whose sum is σ = 328938856740. Its totient is φ = 40256037888.

The previous prime is 121111230293. The next prime is 121111230319. The reversal of 121111230312 is 213032111121.

121111230312 is a `hidden beast` number, since 1 + 211 + 112 + 30 + 312 = 666.

121111230312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 117255565476 + 3855664836 = 342426^2 + 62094^2 .

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 (121111230319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2357163 + ... + 2407994.

Almost surely, 2121111230312 is an apocalyptic number.

121111230312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121111230312 is an abundant number, since it is smaller than the sum of its proper divisors (207827626428).

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

121111230312 is a wasteful number, since it uses less digits than its factorization.

121111230312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765522 (or 4765515 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121111230312 its reverse (213032111121), we get a palindrome (334143341433).

The spelling of 121111230312 in words is "one hundred twenty-one billion, one hundred eleven million, two hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 353 706 1059 1412 2118 2824 3177 4236 6354 8472 12708 25416 4765157 9530314 14295471 19060628 28590942 38121256 42886413 57181884 85772826 114363768 171545652 343091304 1682100421 3364200842 5046301263 6728401684 10092602526 13456803368 15138903789 20185205052 30277807578 40370410104 60555615156 121111230312