Search a number
-
+
120211222220012 = 227211218612723687
BaseRepresentation
bin11011010101010011011011…
…001100101100110011101100
3120202122002011202122120020002
4123111103123030230303230
5111224020040342020022
61103400134554043432
734214655102344600
oct3325233314546354
9522562152576202
10120211222220012
1135337325052400
12115958a7119578
13520cb3c70a501
14219837b749500
15dd6e82e12092
hex6d54db32ccec

120211222220012 has 108 divisors (see below), whose sum is σ = 269129664940752. Its totient is φ = 46810357070400.

The previous prime is 120211222220009. The next prime is 120211222220021. The reversal of 120211222220012 is 210022222112021.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42773633 + ... + 45497319.

It is an arithmetic number, because the mean of its divisors is an integer number (2491941342044).

Almost surely, 2120211222220012 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 120211222220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134564832470376).

120211222220012 is an abundant number, since it is smaller than the sum of its proper divisors (148918442720740).

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

120211222220012 is a wasteful number, since it uses less digits than its factorization.

120211222220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725588 (or 2725568 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 120211222220012 its reverse (210022222112021), we get a palindrome (330233444332033).

The spelling of 120211222220012 in words is "one hundred twenty trillion, two hundred eleven billion, two hundred twenty-two million, two hundred twenty thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 1861 2156 3388 3722 5929 7444 11858 13027 20471 23716 26054 40942 52108 81884 91189 143297 182378 225181 286594 364756 450362 573188 900724 1003079 1576267 2006158 2723687 3152534 4012316 5447374 6305068 10894748 11033869 19065809 22067738 29960557 38131618 44135476 59921114 76263236 119842228 133460663 209723899 266921326 329566127 419447798 533842652 659132254 838895596 1318264508 1468067293 2306962889 2936134586 4613925778 5068781507 5872269172 9227851556 10137563014 16148740223 20275126028 32297480446 35481470549 55756596577 64594960892 70962941098 111513193154 141925882196 223026386308 248370293843 390296176039 496740587686 613322562347 780592352078 993481175372 1226645124694 1561184704156 2453290249388 2732073232273 4293257936429 5464146464546 8586515872858 10928292929092 17173031745716 30052805555003 60105611110006 120211222220012