Search a number
-
+
12012222211122 = 23719641109721407
BaseRepresentation
bin1010111011001101000000…
…1111001110010000110010
31120112100122102022202111110
42232303100033032100302
53033302012341223442
641314201054254150
72346566031052050
oct256632017162062
946470572282443
1012012222211122
11391139a309a31
121420070ab7356
136919948b7383
142d7574d211d0
1515c6eae3669c
hexaecd03ce432

12012222211122 has 128 divisors (see below), whose sum is σ = 28974416117760. Its totient is φ = 3243245322240.

The previous prime is 12012222211081. The next prime is 12012222211127. The reversal of 12012222211122 is 22111222221021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12012222211127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 561124543 + ... + 561145949.

It is an arithmetic number, because the mean of its divisors is an integer number (226362625920).

Almost surely, 212012222211122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012222211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14487208058880).

12012222211122 is an abundant number, since it is smaller than the sum of its proper divisors (16962193906638).

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

12012222211122 is a wasteful number, since it uses less digits than its factorization.

12012222211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23176.

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

Adding to 12012222211122 its reverse (22111222221021), we get a palindrome (34123444432143).

The spelling of 12012222211122 in words is "twelve trillion, twelve billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 641 798 1097 1282 1923 2194 3291 3846 4487 6582 7679 8974 12179 13461 15358 20843 21407 23037 24358 26922 36537 41686 42814 46074 62529 64221 73074 85253 125058 128442 145901 149849 170506 255759 291802 299698 406733 437703 449547 511518 703177 813466 875406 899094 1220199 1406354 2109531 2440398 2847131 4219062 4922239 5694262 8541393 9844478 13360363 13721887 14766717 17082786 23483479 26720726 27443774 29533434 40081089 41165661 46966958 70450437 80162178 82331322 93522541 96053209 140900874 164384353 187045082 192106418 260715853 280567623 288159627 328768706 446186101 493153059 521431706 561135246 576319254 782147559 892372202 986306118 1338558303 1564295118 1825010971 2677116606 3123302707 3650021942 5475032913 6246605414 9369908121 10950065826 15052910039 18739816242 30105820078 45158730117 90317460234 105370370273 210740740546 286005290741 316111110819 572010581482 632222221638 858015872223 1716031744446 2002037035187 4004074070374 6006111105561 12012222211122