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12000120330030 = 2357107534050749
BaseRepresentation
bin1010111010011111111011…
…1010001101011100101110
31120111012102000111111120020
42232213332322031130232
53033102221301030110
641304440145103010
72345660111546640
oct256477672153456
946435360444506
1012000120330030
11390724a0a1608
121419854027a66
136907b6600aa1
142d6b47982890
1515c23d78dd70
hexae9fee8d72e

12000120330030 has 64 divisors (see below), whose sum is σ = 33222229056000. Its totient is φ = 2717250205824.

The previous prime is 12000120330007. The next prime is 12000120330031. The reversal of 12000120330030 is 3003302100021.

It is a super-2 number, since 2×120001203300302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 12000120329991 and 12000120330009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000120330031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267002905 + ... + 267047844.

It is an arithmetic number, because the mean of its divisors is an integer number (519097329000).

Almost surely, 212000120330030 is an apocalyptic number.

12000120330030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12000120330030 is an abundant number, since it is smaller than the sum of its proper divisors (21222108725970).

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

12000120330030 is a wasteful number, since it uses less digits than its factorization.

12000120330030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534050873.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12000120330030 its reverse (3003302100021), we get a palindrome (15003422430051).

The spelling of 12000120330030 in words is "twelve trillion, one hundred twenty million, three hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 107 210 214 321 535 642 749 1070 1498 1605 2247 3210 3745 4494 7490 11235 22470 534050749 1068101498 1602152247 2670253745 3204304494 3738355243 5340507490 7476710486 8010761235 11215065729 16021522470 18691776215 22430131458 37383552430 56075328645 57143430143 112150657290 114286860286 171430290429 285717150715 342860580858 400004011001 571434301430 800008022002 857151452145 1200012033003 1714302904290 2000020055005 2400024066006 4000040110010 6000060165015 12000120330030