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1122120312 = 233371399091
BaseRepresentation
bin100001011100010…
…0011001001111000
32220012110121200120
41002320203021320
54244230322222
6303202533240
736543602535
oct10270431170
92805417616
101122120312
11526453665
12273967220
1314b627221
14a9059d8c
15687a515c
hex42e23278

1122120312 has 64 divisors (see below), whose sum is σ = 2902166400. Its totient is φ = 361272960.

The previous prime is 1122120301. The next prime is 1122120317. The reversal of 1122120312 is 2130212211.

It is a junction number, because it is equal to n+sod(n) for n = 1122120291 and 1122120300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122120317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118887 + ... + 127977.

It is an arithmetic number, because the mean of its divisors is an integer number (45346350).

Almost surely, 21122120312 is an apocalyptic number.

1122120312 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 1122120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451083200).

1122120312 is an abundant number, since it is smaller than the sum of its proper divisors (1780046088).

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

1122120312 is a wasteful number, since it uses less digits than its factorization.

1122120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9276 (or 9272 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1122120312 is about 33498.0643022847. The cubic root of 1122120312 is about 1039.1537469910.

Adding to 1122120312 its reverse (2130212211), we get a palindrome (3252332523).

The spelling of 1122120312 in words is "one billion, one hundred twenty-two million, one hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 139 148 222 278 296 417 444 556 834 888 1112 1668 3336 5143 9091 10286 15429 18182 20572 27273 30858 36364 41144 54546 61716 72728 109092 123432 218184 336367 672734 1009101 1263649 1345468 2018202 2527298 2690936 3790947 4036404 5054596 7581894 8072808 10109192 15163788 30327576 46755013 93510026 140265039 187020052 280530078 374040104 561060156 1122120312