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122001101212212 = 22334127552190879
BaseRepresentation
bin11011101111010110011000…
…010011001100101000110100
3120222222012011111202021002000
4123233112120103030220310
5111442331223402242322
61111250310540415300
734461201006634365
oct3357263023145064
9528865144667060
10122001101212212
1135967416088032
1211824769b47530
13530c867b776b1
14221ac55c95b6c
15e187de1583ac
hex6ef5984cca34

122001101212212 has 48 divisors (see below), whose sum is σ = 324013764748800. Its totient is φ = 39675154864320.

The previous prime is 122001101212189. The next prime is 122001101212213. The reversal of 122001101212212 is 212212101100221.

122001101212212 is a `hidden beast` number, since 1 + 220 + 0 + 110 + 121 + 2 + 212 = 666.

122001101212212 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 not an unprimeable number, because it can be changed into a prime (122001101212213) 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, 13776091012 + ... + 13776099867.

It is an arithmetic number, because the mean of its divisors is an integer number (6750286765600).

Almost surely, 2122001101212212 is an apocalyptic number.

122001101212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122001101212212 is an abundant number, since it is smaller than the sum of its proper divisors (202012663536588).

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

122001101212212 is a wasteful number, since it uses less digits than its factorization.

122001101212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27552190933 (or 27552190925 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122001101212212 its reverse (212212101100221), we get a palindrome (334213202312433).

The spelling of 122001101212212 in words is "one hundred twenty-two trillion, one billion, one hundred one million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 27552190879 55104381758 82656572637 110208763516 165313145274 247969717911 330626290548 495939435822 743909153733 991878871644 1129639826039 1487818307466 2259279652078 2975636614932 3388919478117 4518559304156 6777838956234 10166758434351 13555677912468 20333516868702 30500275303053 40667033737404 61000550606106 122001101212212