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211212121222122 = 23376471470488333
BaseRepresentation
bin110000000001100010100111…
…011101010010101111101010
31000200211200101212210022012220
4300001202213131102233222
5210140444411013101442
62025113301535014510
762326400155243146
oct6001424735225752
91020750355708186
10211212121222122
1161331615160aa9
121b8323a806a436
1390b12a9ccab87
143a22a15012226
1519641a2dd5eec
hexc018a7752bea

211212121222122 has 32 divisors (see below), whose sum is σ = 434511656836992. Its totient is φ = 68395353297984.

The previous prime is 211212121222121. The next prime is 211212121222129. The reversal of 211212121222122 is 221222121212112.

It is a super-3 number, since 3×2112121212221223 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 211212121222092 and 211212121222101.

It is not an unprimeable number, because it can be changed into a prime (211212121222121) 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 15 ways as a sum of consecutive naturals, for example, 735100533 + ... + 735387800.

It is an arithmetic number, because the mean of its divisors is an integer number (13578489276156).

Almost surely, 2211212121222122 is an apocalyptic number.

211212121222122 is an abundant number, since it is smaller than the sum of its proper divisors (223299535614870).

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

211212121222122 is a wasteful number, since it uses less digits than its factorization.

211212121222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470489022.

The product of its digits is 512, while the sum is 24.

Adding to 211212121222122 its reverse (221222121212112), we get a palindrome (432434242434234).

The spelling of 211212121222122 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 37 74 111 222 647 1294 1941 3882 23939 47878 71817 143634 1470488333 2940976666 4411464999 8822929998 54408068321 108816136642 163224204963 326448409926 951405951451 1902811902902 2854217854353 5708435708706 35202020203687 70404040407374 105606060611061 211212121222122