Search a number
-
+
12212122010214 = 2373832347323467
BaseRepresentation
bin1011000110110101101100…
…1100011100001001100110
31121020110121210001201012010
42301231123030130021212
53100040411213311324
641550101004535050
72400203524236120
oct261553314341146
947213553051163
1012212122010214
11398914a561765
12145295ab51486
136a77a1222469
143030d999c210
151629ea6b6829
hexb1b5b31c266

12212122010214 has 64 divisors (see below), whose sum is σ = 27998313578496. Its totient is φ = 3478574065824.

The previous prime is 12212122010189. The next prime is 12212122010227. The reversal of 12212122010214 is 41201022121221.

12212122010214 is digitally balanced in base 2, 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 (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37592109 + ... + 37915575.

It is an arithmetic number, because the mean of its divisors is an integer number (437473649664).

Almost surely, 212212122010214 is an apocalyptic number.

12212122010214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12212122010214 is an abundant number, since it is smaller than the sum of its proper divisors (15786191568282).

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

12212122010214 is a wasteful number, since it uses less digits than its factorization.

12212122010214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326209.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12212122010214 its reverse (41201022121221), we get a palindrome (53413144131435).

The spelling of 12212122010214 in words is "twelve trillion, two hundred twelve billion, one hundred twenty-two million, ten thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 383 766 1149 2298 2347 2681 4694 5362 7041 8043 14082 16086 16429 32858 49287 98574 323467 646934 898901 970401 1797802 1940802 2264269 2696703 4528538 5393406 6292307 6792807 12584614 13585614 18876921 37753842 123887861 247775722 371663583 743327166 759177049 867215027 1518354098 1734430054 2277531147 2601645081 4555062294 5203290162 5314239343 10628478686 15942718029 31885436058 290764809767 581529619534 872294429301 1744588858602 2035353668369 4070707336738 6106061005107 12212122010214