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120012301023312 = 24379201715691033
BaseRepresentation
bin11011010010011010001010…
…100100100011100001010000
3120201221001201121022202122110
4123102122022210203201100
5111212240143030221222
61103124520122305320
734164413461151655
oct3322321244434120
9521831647282573
10120012301023312
113526aa27239085
1211563230958240
1351c715aa59ca9
14218c8aaa49c2c
15dd1bde53830c
hex6d268a923850

120012301023312 has 80 divisors (see below), whose sum is σ = 314111905591040. Its totient is φ = 39478134398976.

The previous prime is 120012301023283. The next prime is 120012301023337. The reversal of 120012301023312 is 213320103210021.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 197053 + ... + 15493980.

It is an arithmetic number, because the mean of its divisors is an integer number (3926398819888).

Almost surely, 2120012301023312 is an apocalyptic number.

120012301023312 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 120012301023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157055952795520).

120012301023312 is an abundant number, since it is smaller than the sum of its proper divisors (194099604567728).

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

120012301023312 is a wasteful number, since it uses less digits than its factorization.

120012301023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15693140 (or 15693134 counting only the distinct ones).

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

Adding to 120012301023312 its reverse (213320103210021), we get a palindrome (333332404233333).

The spelling of 120012301023312 in words is "one hundred twenty trillion, twelve billion, three hundred one million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 2017 3792 4034 6051 8068 12102 16136 24204 32272 48408 96816 159343 318686 478029 637372 956058 1274744 1912116 2549488 3824232 7648464 15691033 31382066 47073099 62764132 94146198 125528264 188292396 251056528 376584792 753169584 1239591607 2479183214 3718774821 4958366428 7437549642 9916732856 14875099284 19833465712 29750198568 31648813561 59500397136 63297627122 94946440683 126595254244 189892881366 253190508488 379785762732 506381016976 759571525464 1519143050928 2500256271319 5000512542638 7500768813957 10001025085276 15001537627914 20002050170552 30003075255828 40004100341104 60006150511656 120012301023312