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12031950720 = 273511355457
BaseRepresentation
bin10110011010010100…
…01111111110000000
31011001112020102111110
423031022033332000
5144120134410340
65305530243320
7604106615346
oct131512177600
934045212443
1012031950720
1151147a4729
1223b9586540
13119997068a
14821d77996
154a6482680
hex2cd28ff80

12031950720 has 128 divisors (see below), whose sum is σ = 38691937440. Its totient is φ = 3180068864.

The previous prime is 12031950691. The next prime is 12031950727. The reversal of 12031950720 is 2705913021.

12031950720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031950727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189232 + ... + 244688.

Almost surely, 212031950720 is an apocalyptic number.

12031950720 is a gapful number since it is divisible by the number (10) 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 12031950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19345968720).

12031950720 is an abundant number, since it is smaller than the sum of its proper divisors (26659986720).

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

12031950720 is a wasteful number, since it uses less digits than its factorization.

12031950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55592 (or 55580 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

It can be divided in two parts, 120 and 31950720, that multiplied together give a square (3834086400 = 619202).

The spelling of 12031950720 in words is "twelve billion, thirty-one million, nine hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 128 160 192 226 240 320 339 384 452 480 565 640 678 904 960 1130 1356 1695 1808 1920 2260 2712 3390 3616 4520 5424 6780 7232 9040 10848 13560 14464 18080 21696 27120 36160 43392 54240 55457 72320 108480 110914 166371 216960 221828 277285 332742 443656 554570 665484 831855 887312 1109140 1330968 1663710 1774624 2218280 2661936 3327420 3549248 4436560 5323872 6266641 6654840 7098496 8873120 10647744 12533282 13309680 17746240 18799923 21295488 25066564 26619360 31333205 35492480 37599846 50133128 53238720 62666410 75199692 93999615 100266256 106477440 125332820 150399384 187999230 200532512 250665640 300798768 375998460 401065024 501331280 601597536 751996920 802130048 1002662560 1203195072 1503993840 2005325120 2406390144 3007987680 4010650240 6015975360 12031950720