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1201200203112 = 233713683805271
BaseRepresentation
bin10001011110101101000…
…111001000010101101000
311020211111201002202010120
4101132231013020111220
5124140024222444422
62315453533043240
7152532601155330
oct21365507102550
94224451082116
101201200203112
11423476221498
12174973626520
1389371150770
14421d1aac0c0
15213a526645c
hex117ad1c8568

1201200203112 has 128 divisors (see below), whose sum is σ = 3701416642560. Its totient is φ = 316335824640.

The previous prime is 1201200203107. The next prime is 1201200203129. The reversal of 1201200203112 is 2113020021021.

It is a junction number, because it is equal to n+sod(n) for n = 1201200203091 and 1201200203100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1089037 + ... + 1894307.

It is an arithmetic number, because the mean of its divisors is an integer number (28917317520).

Almost surely, 21201200203112 is an apocalyptic number.

1201200203112 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 1201200203112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850708321280).

1201200203112 is an abundant number, since it is smaller than the sum of its proper divisors (2500216439448).

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

1201200203112 is a wasteful number, since it uses less digits than its factorization.

1201200203112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805983 (or 805979 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1201200203112 its reverse (2113020021021), we get a palindrome (3314220224133).

The spelling of 1201200203112 in words is "one trillion, two hundred one billion, two hundred million, two hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 683 728 1092 1366 2049 2184 2732 4098 4781 5464 8196 8879 9562 14343 16392 17758 19124 26637 28686 35516 38248 53274 57372 62153 71032 106548 114744 124306 186459 213096 248612 372918 497224 745836 805271 1491672 1610542 2415813 3221084 4831626 5636897 6442168 9663252 10468523 11273794 16910691 19326504 20937046 22547588 31405569 33821382 41874092 45095176 62811138 67642764 73279661 83748184 125622276 135285528 146559322 219838983 251244552 293118644 439677966 550000093 586237288 879355932 1100000186 1650000279 1758711864 2200000372 3300000558 3850000651 4400000744 6600001116 7150001209 7700001302 11550001953 13200002232 14300002418 15400002604 21450003627 23100003906 28600004836 30800005208 42900007254 46200007812 50050008463 57200009672 85800014508 92400015624 100100016926 150150025389 171600029016 200200033852 300300050778 400400067704 600600101556 1201200203112