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121212001010212 = 227236717891570271
BaseRepresentation
bin11011100011110111011110…
…010000110100001000100100
3120220011202100202111122000121
4123203313132100310020210
5111341414134224311322
61105444005144451324
734350164244612160
oct3343673620641044
9526152322448017
10121212001010212
11356927a2641962
1211717845a79b44
135283320140c48
1421d0999399ca0
15e03007c10ec7
hex6e3dde434224

121212001010212 has 96 divisors (see below), whose sum is σ = 256883434536960. Its totient is φ = 48920367450240.

The previous prime is 121212001010197. The next prime is 121212001010231. The reversal of 121212001010212 is 212010100212121.

121212001010212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 76406637 + ... + 77976907.

It is an arithmetic number, because the mean of its divisors is an integer number (2675869109760).

Almost surely, 2121212001010212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121212001010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128441717268480).

121212001010212 is an abundant number, since it is smaller than the sum of its proper divisors (135671433526748).

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

121212001010212 is a wasteful number, since it uses less digits than its factorization.

121212001010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572161 (or 1572159 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121212001010212 its reverse (212010100212121), we get a palindrome (333222101222333).

The spelling of 121212001010212 in words is "one hundred twenty-one trillion, two hundred twelve billion, one million, ten thousand, two hundred twelve".

Divisors: 1 2 4 7 14 23 28 46 67 92 134 161 268 322 469 644 938 1541 1789 1876 3082 3578 6164 7156 10787 12523 21574 25046 41147 43148 50092 82294 119863 164588 239726 288029 479452 576058 839041 1152116 1570271 1678082 2756849 3140542 3356164 5513698 6281084 10991897 11027396 19297943 21983794 36116233 38595886 43967588 72232466 77191772 105208157 144464932 210416314 252813631 420832628 505627262 736457099 1011254524 1472914198 2419787611 2809214819 2945828396 4839575222 5618429638 9679150444 11236859276 16938513277 19664503733 33877026554 39329007466 64611940837 67754053108 78658014932 129223881674 188217392873 258447763348 376434785746 452283585859 752869571492 904567171718 1317521750111 1809134343436 2635043500222 4329000036079 5270087000444 8658000072158 17316000144316 30303000252553 60606000505106 121212001010212