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122221310010012 = 22342631434320401
BaseRepresentation
bin11011110010100011011101…
…110001000110001010011100
3121000202020120020110020120000
4123302203131301012022130
5112004433220330310022
61111535410015254300
734513124666554263
oct3362433561061234
9530666506406500
10122221310010012
1135a4184821a114
121185b38551a390
13532755cbb9095
142227785c915da
15e1e3cb83e6ac
hex6f28ddc4629c

122221310010012 has 60 divisors (see below), whose sum is σ = 320725516450416. Its totient is φ = 40585530038400.

The previous prime is 122221310010001. The next prime is 122221310010031. The reversal of 122221310010012 is 210010013122221.

122221310010012 is a `hidden beast` number, since 1 + 22 + 221 + 310 + 0 + 100 + 12 = 666.

122221310010012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 717074989 + ... + 717245412.

Almost surely, 2122221310010012 is an apocalyptic number.

122221310010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122221310010012 is an abundant number, since it is smaller than the sum of its proper divisors (198504206440404).

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

122221310010012 is a wasteful number, since it uses less digits than its factorization.

122221310010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434320680 (or 1434320669 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122221310010012 its reverse (210010013122221), we get a palindrome (332231323132233).

The spelling of 122221310010012 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, three hundred ten million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 263 324 526 789 1052 1578 2367 3156 4734 7101 9468 14202 21303 28404 42606 85212 1434320401 2868640802 4302961203 5737281604 8605922406 12908883609 17211844812 25817767218 38726650827 51635534436 77453301654 116179952481 154906603308 232359904962 377226265463 464719809924 754452530926 1131678796389 1508905061852 2263357592778 3395036389167 4526715185556 6790072778334 10185109167501 13580145556668 20370218335002 30555327502503 40740436670004 61110655005006 122221310010012