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120201201231100 = 2252111031607660181
BaseRepresentation
bin11011010101001010000101…
…111001101010010011111100
3120202121010022101101120201121
4123111022011321222103330
5111223334030003343400
61103351400341320324
734214151551344513
oct3325120571522374
9522533271346647
10120201201231100
1135333052502090
121159396b1060a4
13520bc03581782
142197aaa8c167a
15dd6a982aa21a
hex6d5285e6a4fc

120201201231100 has 144 divisors (see below), whose sum is σ = 287490860407296. Its totient is φ = 43258162464000.

The previous prime is 120201201231091. The next prime is 120201201231107. The reversal of 120201201231100 is 1132102102021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201201231107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181743010 + ... + 182403190.

It is an arithmetic number, because the mean of its divisors is an integer number (1996464308384).

Almost surely, 2120201201231100 is an apocalyptic number.

120201201231100 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 120201201231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143745430203648).

120201201231100 is an abundant number, since it is smaller than the sum of its proper divisors (167289659176196).

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

120201201231100 is a wasteful number, since it uses less digits than its factorization.

120201201231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661916 (or 661909 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 120201201231100 its reverse (1132102102021), we get a palindrome (121333303333121).

The spelling of 120201201231100 in words is "one hundred twenty trillion, two hundred one billion, two hundred one million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 206 220 275 412 515 550 1030 1100 1133 1607 2060 2266 2575 3214 4532 5150 5665 6428 8035 10300 11330 16070 17677 22660 28325 32140 35354 40175 56650 70708 80350 88385 113300 160700 165521 176770 331042 353540 441925 660181 662084 827605 883850 1320362 1655210 1767700 1820731 2640724 3300905 3310420 3641462 4138025 6601810 7261991 7282924 8276050 9103655 13203620 14523982 16504525 16552100 18207310 29047964 33009050 36309955 36414620 45518275 66018100 67998643 72619910 91036550 135997286 145239820 181549775 182073100 271994572 339993215 363099550 679986430 726199100 747985073 1060910867 1359972860 1495970146 1699966075 2121821734 2991940292 3399932150 3739925365 4243643468 5304554335 6799864300 7479850730 10609108670 11670019537 14959701460 18699626825 21218217340 23340039074 26522771675 37399253650 46680078148 53045543350 58350097685 74798507300 106091086700 109273819301 116700195370 218547638602 233400390740 291750488425 437095277204 546369096505 583500976850 1092738193010 1167001953700 1202012012311 2185476386020 2404024024622 2731845482525 4808048049244 5463690965050 6010060061555 10927381930100 12020120123110 24040240246220 30050300307775 60100600615550 120201201231100