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1252212312 = 2331337671619
BaseRepresentation
bin100101010100011…
…0011111001011000
310020021020222100210
41022220303321120
510031031243222
6324131131120
743013425521
oct11250637130
93207228323
101252212312
1159292870a
122ab443aa0
1316c575840
14bc441848
1574e00d0c
hex4aa33e58

1252212312 has 128 divisors (see below), whose sum is σ = 3516307200. Its totient is φ = 369059328.

The previous prime is 1252212293. The next prime is 1252212319. The reversal of 1252212312 is 2132122521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252212319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772639 + ... + 774257.

It is an arithmetic number, because the mean of its divisors is an integer number (27471150).

Almost surely, 21252212312 is an apocalyptic number.

1252212312 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 1252212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758153600).

1252212312 is an abundant number, since it is smaller than the sum of its proper divisors (2264094888).

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

1252212312 is a wasteful number, since it uses less digits than its factorization.

1252212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1741 counting only the distinct ones).

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

The square root of 1252212312 is about 35386.6120446702. The cubic root of 1252212312 is about 1077.8524746976.

Adding to 1252212312 its reverse (2132122521), we get a palindrome (3384334833).

The spelling of 1252212312 in words is "one billion, two hundred fifty-two million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 67 74 78 104 111 134 148 156 201 222 268 296 312 402 444 481 536 804 871 888 962 1443 1608 1619 1742 1924 2479 2613 2886 3238 3484 3848 4857 4958 5226 5772 6476 6968 7437 9714 9916 10452 11544 12952 14874 19428 19832 20904 21047 29748 32227 38856 42094 59496 59903 63141 64454 84188 96681 108473 119806 126282 128908 168376 179709 193362 216946 239612 252564 257816 325419 359418 386724 433892 479224 505128 650838 718836 773448 778739 867784 1301676 1410149 1437672 1557478 2336217 2603352 2820298 3114956 4013501 4230447 4672434 5640596 6229912 8027002 8460894 9344868 11281192 12040503 16054004 16921788 18689736 24081006 32108008 33843576 48162012 52175513 96324024 104351026 156526539 208702052 313053078 417404104 626106156 1252212312