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1212301312 = 214611213
BaseRepresentation
bin100100001000010…
…0100000000000000
310010111011021202121
41020100210000000
54440322120222
6320143454024
742020251105
oct11020440000
93114137677
101212301312
11572348a12
12299bb7314
13164210671
14b7012aac
157166a5c7
hex48424000

1212301312 has 60 divisors (see below), whose sum is σ = 2466306556. Its totient is φ = 595722240.

The previous prime is 1212301309. The next prime is 1212301351. The reversal of 1212301312 is 2131032121.

It can be written as a sum of positive squares in 2 ways, for example, as 44302336 + 1167998976 = 6656^2 + 34176^2 .

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 998818 + ... + 1000030.

Almost surely, 21212301312 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 1212301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233153278).

1212301312 is an abundant number, since it is smaller than the sum of its proper divisors (1254005244).

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

1212301312 is an frugal number, since it uses more digits than its factorization.

1212301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1212301312 is about 34818.1175826609. The cubic root of 1212301312 is about 1066.2773690478.

Adding to 1212301312 its reverse (2131032121), we get a palindrome (3343333433).

The spelling of 1212301312 in words is "one billion, two hundred twelve million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1024 1213 1952 2048 2426 3904 4096 4852 7808 8192 9704 15616 16384 19408 31232 38816 62464 73993 77632 124928 147986 155264 249856 295972 310528 499712 591944 621056 999424 1183888 1242112 2367776 2484224 4735552 4968448 9471104 9936896 18942208 19873792 37884416 75768832 151537664 303075328 606150656 1212301312