Search a number
-
+
121210000212 = 223710121416673
BaseRepresentation
bin111000011100010101…
…1011101001101010100
3102120212022222222202010
41300320223131031110
53441214230001322
6131403314544220
711520461000550
oct1607053351524
9376768888663
10121210000212
114744a9811a4
121b5a8b98070
13b578aa0522
145c1bd1a860
15324631920c
hex1c38add354

121210000212 has 96 divisors (see below), whose sum is σ = 326628336384. Its totient is φ = 34267392000.

The previous prime is 121210000201. The next prime is 121210000231. The reversal of 121210000212 is 212000012121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18160908 + ... + 18167580.

It is an arithmetic number, because the mean of its divisors is an integer number (3402378504).

Almost surely, 2121210000212 is an apocalyptic number.

121210000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121210000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163314168192).

121210000212 is an abundant number, since it is smaller than the sum of its proper divisors (205418336172).

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

121210000212 is a wasteful number, since it uses less digits than its factorization.

121210000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8929 (or 8927 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121210000212 its reverse (212000012121), we get a palindrome (333210012333).

The spelling of 121210000212 in words is "one hundred twenty-one billion, two hundred ten million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1414 2121 2141 2828 4242 4282 6423 6673 8484 8564 12846 13346 14987 20019 25692 26692 29974 40038 44961 46711 59948 80076 89922 93422 140133 179844 186844 216241 280266 432482 560532 648723 673973 864964 1297446 1347946 1513687 2021919 2594892 2695892 3027374 4043838 4541061 4717811 6054748 8087676 9082122 9435622 14153433 14286893 18164244 18871244 28306866 28573786 42860679 56613732 57147572 85721358 100008251 171442716 200016502 300024753 400033004 600049506 1200099012 1442976193 2885952386 4328928579 5771904772 8657857158 10100833351 17315714316 20201666702 30302500053 40403333404 60605000106 121210000212