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12001231011072 = 28390591724981
BaseRepresentation
bin1010111010100100000100…
…0111000111110100000000
31120111022021102102221112010
42232221001013013310000
53033112010114323242
641305142302532520
72346026456310042
oct256510107076400
946438242387463
1012001231011072
11390776a041726
121419b03b97140
136909327512c4
142d6c112a1a92
1515c2a603489c
hexaea411c7d00

12001231011072 has 72 divisors (see below), whose sum is σ = 31944320664480. Its totient is φ = 3999966423040.

The previous prime is 12001231011059. The next prime is 12001231011073. The reversal of 12001231011072 is 27011013210021.

It is a super-2 number, since 2×120012310110722 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001231011073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6094822 + ... + 7819802.

It is an arithmetic number, because the mean of its divisors is an integer number (443671120340).

Almost surely, 212001231011072 is an apocalyptic number.

12001231011072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001231011072 is an abundant number, since it is smaller than the sum of its proper divisors (19943089653408).

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

12001231011072 is an equidigital number, since it uses as much as digits as its factorization.

12001231011072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734059 (or 1734045 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

Adding to 12001231011072 its reverse (27011013210021), we get a palindrome (39012244221093).

The spelling of 12001231011072 in words is "twelve trillion, one billion, two hundred thirty-one million, eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 9059 18118 27177 36236 54354 72472 108708 144944 217416 289888 434832 579776 869664 1159552 1724981 1739328 2319104 3449962 3478656 5174943 6899924 6957312 10349886 13799848 20699772 27599696 41399544 55199392 82799088 110398784 165598176 220797568 331196352 441595136 662392704 1324785408 15626602879 31253205758 46879808637 62506411516 93759617274 125012823032 187519234548 250025646064 375038469096 500051292128 750076938192 1000102584256 1500153876384 2000205168512 3000307752768 4000410337024 6000615505536 12001231011072