Search a number
-
+
1212540312 = 2332314091559
BaseRepresentation
bin100100001000101…
…1110010110011000
310010111121102121110
41020101132112120
54440402242222
6320152540320
742022264644
oct11021362630
93114542543
101212540312
115724a1535
1229a0b16a0
13164295399
14b7075c24
15716b630c
hex4845e598

1212540312 has 64 divisors (see below), whose sum is σ = 3167424000. Its totient is φ = 386084864.

The previous prime is 1212540299. The next prime is 1212540313. The reversal of 1212540312 is 2130452121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212540313) 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, 776989 + ... + 778547.

It is an arithmetic number, because the mean of its divisors is an integer number (49491000).

Almost surely, 21212540312 is an apocalyptic number.

1212540312 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 1212540312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583712000).

1212540312 is an abundant number, since it is smaller than the sum of its proper divisors (1954883688).

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

1212540312 is a wasteful number, since it uses less digits than its factorization.

1212540312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1212540312 is about 34821.5495347350. The cubic root of 1212540312 is about 1066.3474351124.

Adding to 1212540312 its reverse (2130452121), we get a palindrome (3342992433).

The spelling of 1212540312 in words is "one billion, two hundred twelve million, five hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 1409 1559 2818 3118 4227 4677 5636 6236 8454 9354 11272 12472 16908 18708 32407 33816 35857 37416 64814 71714 97221 107571 129628 143428 194442 215142 259256 286856 388884 430284 777768 860568 2196631 4393262 6589893 8786524 13179786 17573048 26359572 50522513 52719144 101045026 151567539 202090052 303135078 404180104 606270156 1212540312