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12031221223000 = 235372245535127
BaseRepresentation
bin1010111100010011110010…
…1010101100111001011000
31120121011200111022120012001
42233010330222230321120
53034104420113114000
641331022225130344
72351140610021200
oct257047452547130
946534614276161
1012031221223000
1139194597aa841
1214238937899b4
13693701a9a135
142d84582bd400
1515ce5dd7846a
hexaf13caace58

12031221223000 has 96 divisors (see below), whose sum is σ = 32749475372640. Its totient is φ = 4124990116800.

The previous prime is 12031221222991. The next prime is 12031221223003. The reversal of 12031221223000 is 32212213021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031221223003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122718564 + ... + 122816563.

It is an arithmetic number, because the mean of its divisors is an integer number (341140368465).

Almost surely, 212031221223000 is an apocalyptic number.

12031221223000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12031221223000 is an abundant number, since it is smaller than the sum of its proper divisors (20718254149640).

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

12031221223000 is a wasteful number, since it uses less digits than its factorization.

12031221223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245535162 (or 245535141 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12031221223000 its reverse (32212213021), we get a palindrome (12063433436021).

The spelling of 12031221223000 in words is "twelve trillion, thirty-one billion, two hundred twenty-one million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 245535127 491070254 982140508 1227675635 1718745889 1964281016 2455351270 3437491778 4910702540 6138378175 6874983556 8593729445 9821405080 12031221223 12276756350 13749967112 17187458890 24062442446 24553512700 30691890875 34374917780 42968647225 48124884892 49107025400 60156106115 61383781750 68749835560 85937294450 96249769784 120312212230 122767563500 171874588900 214843236125 240624424460 245535127000 300780530575 343749177800 429686472250 481248848920 601561061150 859372944500 1203122122300 1503902652875 1718745889000 2406244244600 3007805305750 6015610611500 12031221223000