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1121012212212 = 22321719186751637
BaseRepresentation
bin10000010100000001100…
…010001110000111110100
310222011112021020202002200
4100110001202032013310
5121331313111242322
62214552542104500
7143663504404314
oct20240142160764
93864467222080
101121012212212
113a2467195032
1216131487b130
13819320a7839
143c385d99444
151e2605118ac
hex1050188e1f4

1121012212212 has 144 divisors (see below), whose sum is σ = 3160022523840. Its totient is φ = 332995193856.

The previous prime is 1121012212207. The next prime is 1121012212217. The reversal of 1121012212212 is 2122122101211.

1121012212212 is a `hidden beast` number, since 11 + 210 + 1 + 221 + 221 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1121012212207) and next prime (1121012212217).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121012212217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21683658 + ... + 21735294.

It is an arithmetic number, because the mean of its divisors is an integer number (21944600860).

Almost surely, 21121012212212 is an apocalyptic number.

1121012212212 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 1121012212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580011261920).

1121012212212 is an abundant number, since it is smaller than the sum of its proper divisors (2039010311628).

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

1121012212212 is a wasteful number, since it uses less digits than its factorization.

1121012212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53550 (or 53545 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1121012212212 its reverse (2122122101211), we get a palindrome (3243134313423).

The spelling of 1121012212212 in words is "one trillion, one hundred twenty-one billion, twelve million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1867 1938 2907 3734 3876 5601 5814 7468 11202 11628 16803 22404 31739 33606 35473 51637 63478 67212 70946 95217 103274 106419 126956 141892 154911 190434 206548 212838 285651 309822 319257 380868 425676 464733 571302 603041 619644 638514 877829 929466 981103 1142604 1206082 1277028 1755658 1809123 1858932 1962206 2412164 2633487 2943309 3511316 3618246 3924412 5266974 5427369 5886618 7236492 7900461 8829927 10533948 10854738 11773236 15800922 16678751 17659854 21709476 31601844 33357502 35319708 50036253 66715004 96406279 100072506 150108759 192812558 200145012 289218837 300217518 385625116 578437674 600435036 867656511 1156875348 1638906743 1735313022 1831719301 3277813486 3470626044 3663438602 4916720229 5495157903 6555626972 7326877204 9833440458 10990315806 14750160687 16485473709 19666880916 21980631612 29500321374 31139228117 32970947418 59000642748 62278456234 65941894836 93417684351 124556912468 186835368702 280253053053 373670737404 560506106106 1121012212212