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1212003312 = 2431319151677
BaseRepresentation
bin100100000111101…
…1011001111110000
310010110121010222120
41020033123033300
54440233101222
6320133234240
742014600232
oct11017331760
93113533876
101212003312
11572165033
12299a92980
13164137b30
14b6d76252
157160c15c
hex483db3f0

1212003312 has 160 divisors (see below), whose sum is σ = 3578104320. Its totient is φ = 350438400.

The previous prime is 1212003277. The next prime is 1212003329. The reversal of 1212003312 is 2133002121.

It is a junction number, because it is equal to n+sod(n) for n = 1212003291 and 1212003300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1789918 + ... + 1790594.

It is an arithmetic number, because the mean of its divisors is an integer number (22363152).

Almost surely, 21212003312 is an apocalyptic number.

1212003312 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 1212003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789052160).

1212003312 is an abundant number, since it is smaller than the sum of its proper divisors (2366101008).

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

1212003312 is a wasteful number, since it uses less digits than its factorization.

1212003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1212003312 is about 34813.8379383831. The cubic root of 1212003312 is about 1066.1899934391.

Adding to 1212003312 its reverse (2133002121), we get a palindrome (3345005433).

The spelling of 1212003312 in words is "one billion, two hundred twelve million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 151 152 156 208 228 247 302 304 312 453 456 494 604 624 677 741 906 912 988 1208 1354 1482 1812 1963 1976 2031 2416 2708 2869 2964 3624 3926 3952 4062 5416 5738 5889 5928 7248 7852 8124 8607 8801 10832 11476 11778 11856 12863 15704 16248 17214 17602 22952 23556 25726 26403 31408 32496 34428 35204 37297 38589 45904 47112 51452 52806 68856 70408 74594 77178 94224 102227 102904 105612 111891 137712 140816 149188 154356 167219 204454 205808 211224 223782 298376 306681 308712 334438 408908 422448 447564 501657 596752 613362 617424 668876 817816 895128 1003314 1226724 1328951 1337752 1635632 1790256 1942313 2006628 2453448 2657902 2675504 3884626 3986853 4013256 4906896 5315804 5826939 7769252 7973706 8026512 10631608 11653878 15538504 15947412 21263216 23307756 25250069 31077008 31894824 46615512 50500138 63789648 75750207 93231024 101000276 151500414 202000552 303000828 404001104 606001656 1212003312