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120955110808 = 23731794871811
BaseRepresentation
bin111000010100101111…
…1001000010110011000
3102120012120101021012211
41300221133020112120
53440204002021213
6131322131444504
711511244323010
oct1605137102630
9376176337184
10120955110808
114732a008aa4
121b537756734
13b5380384ac
145bd612ac40
15322dc6b53d
hex1c297c8598

120955110808 has 128 divisors (see below), whose sum is σ = 271643443200. Its totient is φ = 49401705600.

The previous prime is 120955110763. The next prime is 120955110869. The reversal of 120955110808 is 808011559021.

It is a super-3 number, since 3×1209551108083 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 66788223 + ... + 66790033.

It is an arithmetic number, because the mean of its divisors is an integer number (2122214400).

Almost surely, 2120955110808 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 120955110808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135821721600).

120955110808 is an abundant number, since it is smaller than the sum of its proper divisors (150688332392).

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

120955110808 is a wasteful number, since it uses less digits than its factorization.

120955110808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 40.

Adding to 120955110808 its reverse (808011559021), we get a palindrome (928966669829).

The spelling of 120955110808 in words is "one hundred twenty billion, nine hundred fifty-five million, one hundred ten thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 79 124 158 217 248 316 434 487 553 632 868 974 1106 1736 1811 1948 2212 2449 3409 3622 3896 4424 4898 6818 7244 9796 12677 13636 14488 15097 17143 19592 25354 27272 30194 34286 38473 50708 56141 60388 68572 76946 101416 105679 112282 120776 137144 143069 153892 211358 224564 269311 286138 307784 392987 422716 449128 538622 572276 785974 845432 881957 1001483 1077244 1144552 1192663 1571948 1763914 2002966 2154488 2385326 3143896 3527828 4005932 4435139 4770652 6173699 7055656 8011864 8348641 8870278 9541304 12347398 16697282 17740556 24694796 27340667 31045973 33394564 35481112 49389592 54681334 62091946 66789128 69674603 109362668 124183892 139349206 191384669 218725336 248367784 278698412 382769338 487722221 557396824 765538676 975444442 1531077352 1950888884 2159912693 3901777768 4319825386 8639650772 15119388851 17279301544 30238777702 60477555404 120955110808