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120133221312 = 26313169328429
BaseRepresentation
bin110111111100001111…
…1110111101111000000
3102111002021211221210010
41233320133313233000
53432013101040222
6131104411504520
711452004350506
oct1577037675700
9374067757703
10120133221312
1146a48087285
121b348458140
13b436990150
145b58d04676
1531d1a1d80c
hex1bf87f7bc0

120133221312 has 112 divisors (see below), whose sum is σ = 342516907040. Its totient is φ = 36940935168.

The previous prime is 120133221301. The next prime is 120133221349. The reversal of 120133221312 is 213122331021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4211514 + ... + 4239942.

It is an arithmetic number, because the mean of its divisors is an integer number (3058186670).

Almost surely, 2120133221312 is an apocalyptic number.

120133221312 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 120133221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171258453520).

120133221312 is an abundant number, since it is smaller than the sum of its proper divisors (222383685728).

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

120133221312 is a wasteful number, since it uses less digits than its factorization.

120133221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30150 (or 30140 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 120133221312 its reverse (213122331021), we get a palindrome (333255552333).

The spelling of 120133221312 in words is "one hundred twenty billion, one hundred thirty-three million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1693 2496 3386 5079 6772 10158 13544 20316 22009 27088 28429 40632 44018 54176 56858 66027 81264 85287 88036 108352 113716 132054 162528 170574 176072 227432 264108 325056 341148 352144 369577 454864 528216 682296 704288 739154 909728 1056432 1108731 1364592 1408576 1478308 1819456 2112864 2217462 2729184 2956616 4225728 4434924 5458368 5913232 8869848 11826464 17739696 23652928 35479392 48130297 70958784 96260594 144390891 192521188 288781782 385042376 577563564 625693861 770084752 1155127128 1251387722 1540169504 1877081583 2310254256 2502775444 3080339008 3754163166 4620508512 5005550888 7508326332 9241017024 10011101776 15016652664 20022203552 30033305328 40044407104 60066610656 120133221312