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1212321344 = 26131579281
BaseRepresentation
bin100100001000010…
…1000111001000000
310010111012022020112
41020100220321000
54440323240334
6320144130452
742020363363
oct11020507100
93114168215
101212321344
11572361a73
1229a006a28
13164219810
14b701a0da
15716714ce
hex48428e40

1212321344 has 56 divisors (see below), whose sum is σ = 2607536568. Its totient is φ = 555909120.

The previous prime is 1212321263. The next prime is 1212321347. The reversal of 1212321344 is 4431232121.

It can be written as a sum of positive squares in 4 ways, for example, as 117505600 + 1094815744 = 10840^2 + 33088^2 .

It is a super-2 number, since 2×12123213442 = 2939446082235932672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1212321347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125984 + ... + 135264.

It is an arithmetic number, because the mean of its divisors is an integer number (46563153).

Almost surely, 21212321344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303768284).

1212321344 is an abundant number, since it is smaller than the sum of its proper divisors (1395215224).

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

1212321344 is a wasteful number, since it uses less digits than its factorization.

1212321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9463 (or 9453 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 1212321344 is about 34818.4052477996. The cubic root of 1212321344 is about 1066.2832420516.

Adding to 1212321344 its reverse (4431232121), we get a palindrome (5643553465).

The spelling of 1212321344 in words is "one billion, two hundred twelve million, three hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 157 208 314 416 628 832 1256 2041 2512 4082 5024 8164 9281 10048 16328 18562 32656 37124 65312 74248 120653 130624 148496 241306 296992 482612 593984 965224 1457117 1930448 2914234 3860896 5828468 7721792 11656936 18942521 23313872 37885042 46627744 75770084 93255488 151540168 303080336 606160672 1212321344