Search a number
-
+
1122202122012 = 223331335185819
BaseRepresentation
bin10000010101001000011…
…101010111011100011100
310222021121012021102111000
4100111020131113130130
5121341232220401022
62215311010030300
7144035133436146
oct20251035273434
93867535242430
101122202122012
113a2a17929964
121615a7278390
1381a9177838a
143c45a01dc96
151e2cec076ac
hex1054875771c

1122202122012 has 48 divisors (see below), whose sum is σ = 3003264947200. Its totient is φ = 362000683440.

The previous prime is 1122202122011. The next prime is 1122202122037. The reversal of 1122202122012 is 2102212022211.

It is a happy number.

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 (1122202122011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 167589562 + ... + 167596257.

Almost surely, 21122202122012 is an apocalyptic number.

1122202122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1122202122012 is an abundant number, since it is smaller than the sum of its proper divisors (1881062825188).

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

1122202122012 is a wasteful number, since it uses less digits than its factorization.

1122202122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335185863 (or 335185855 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1122202122012 its reverse (2102212022211), we get a palindrome (3224414144223).

The spelling of 1122202122012 in words is "one trillion, one hundred twenty-two billion, two hundred two million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 335185819 670371638 1005557457 1340743276 2011114914 3016672371 4022229828 6033344742 9050017113 10390760389 12066689484 18100034226 20781520778 31172281167 36200068452 41563041556 62344562334 93516843501 124689124668 187033687002 280550530503 374067374004 561101061006 1122202122012