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120963892088 = 231317238593463
BaseRepresentation
bin111000010101000000…
…0101000001101111000
3102120020011220101212102
41300222000220031320
53440213224021323
6131323044002532
711511412055264
oct1605200501570
9376204811772
10120963892088
1147333a66556
121b53a690448
13b539ac1410
145bd73750a4
15322e903328
hex1c2a028378

120963892088 has 128 divisors (see below), whose sum is σ = 270258508800. Its totient is φ = 50187810816.

The previous prime is 120963892033. The next prime is 120963892099. The reversal of 120963892088 is 880298369021.

120963892088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 34928645 + ... + 34932107.

It is an arithmetic number, because the mean of its divisors is an integer number (2111394600).

Almost surely, 2120963892088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120963892088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135129254400).

120963892088 is an abundant number, since it is smaller than the sum of its proper divisors (149294616712).

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

120963892088 is a wasteful number, since it uses less digits than its factorization.

120963892088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4381 (or 4377 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 56.

The spelling of 120963892088 in words is "one hundred twenty billion, nine hundred sixty-three million, eight hundred ninety-two thousand, eighty-eight".

Divisors: 1 2 4 8 13 17 23 26 34 46 52 68 92 104 136 184 221 299 391 442 598 782 859 884 1196 1564 1718 1768 2392 3128 3436 3463 5083 6872 6926 10166 11167 13852 14603 19757 20332 22334 27704 29206 39514 40664 44668 45019 58412 58871 79028 79649 89336 90038 116824 117742 158056 159298 180076 189839 235484 256841 318596 335869 360152 379678 470968 513682 637192 671738 759356 765323 1027364 1035437 1343476 1354033 1518712 1530646 2054728 2070874 2686952 2708066 2974717 3061292 4141748 4366297 5416132 5949434 6122584 8283496 8732594 10832264 11898868 17465188 17602429 23797736 34930376 35204858 38671321 50570189 68418491 70409716 77342642 101140378 136836982 140819432 154685284 202280756 273673964 309370568 404561512 547347928 657412457 889440383 1163114347 1314824914 1778880766 2326228694 2629649828 3557761532 4652457388 5259299656 7115523064 9304914776 15120486511 30240973022 60481946044 120963892088