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12001221122000 = 245311683798697
BaseRepresentation
bin1010111010100100000010…
…0001011001011111010000
31120111022020201211112021012
42232221000201121133100
53033112000101401000
641305141310550052
72346026306251655
oct256510041313720
946438221745235
1012001221122000
1139077644a7940
121419b00808328
1369093069b096
142d6c0dc49c2c
1515c2a522e735
hexaea408597d0

12001221122000 has 160 divisors (see below), whose sum is σ = 31703428957824. Its totient is φ = 4357685376000.

The previous prime is 12001221121997. The next prime is 12001221122041. The reversal of 12001221122000 is 22112210021.

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 31 ways as a sum of consecutive naturals, for example, 14626652 + ... + 15425348.

Almost surely, 212001221122000 is an apocalyptic number.

12001221122000 is a gapful number since it is divisible by the number (10) 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 12001221122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15851714478912).

12001221122000 is an abundant number, since it is smaller than the sum of its proper divisors (19702207835824).

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

12001221122000 is a wasteful number, since it uses less digits than its factorization.

12001221122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799414 (or 799398 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12001221122000 its reverse (22112210021), we get a palindrome (12023333332021).

The spelling of 12001221122000 in words is "twelve trillion, one billion, two hundred twenty-one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 683 880 1000 1100 1366 1375 2000 2200 2732 2750 3415 4400 5464 5500 6830 7513 10928 11000 13660 15026 17075 22000 27320 30052 34150 37565 54640 60104 68300 75130 85375 120208 136600 150260 170750 187825 273200 300520 341500 375650 601040 683000 751300 798697 939125 1366000 1502600 1597394 1878250 3005200 3194788 3756500 3993485 6389576 7513000 7986970 8785667 12779152 15026000 15973940 17571334 19967425 31947880 35142668 39934850 43928335 63895760 70285336 79869700 87856670 99837125 140570672 159739400 175713340 199674250 219641675 319478800 351426680 399348500 439283350 545510051 702853360 798697000 878566700 1091020102 1098208375 1597394000 1757133400 2182040204 2196416750 2727550255 3514266800 4364080408 4392833500 5455100510 6000610561 8728160816 8785667000 10910201020 12001221122 13637751275 17571334000 21820402040 24002442244 27275502550 30003052805 43640804080 48004884488 54551005100 60006105610 68188756375 96009768976 109102010200 120012211220 136377512750 150015264025 218204020400 240024422440 272755025500 300030528050 480048844880 545510051000 600061056100 750076320125 1091020102000 1200122112200 1500152640250 2400244224400 3000305280500 6000610561000 12001221122000