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12122033303320 = 2354325735976387
BaseRepresentation
bin1011000001100110000101…
…1111010010111100011000
31120220212002100021020002021
42300121201133102330120
53042101411011201240
641440441335144224
72360534166663643
oct260314137227430
946825070236067
1012122033303320
113953a1a862896
1214393b8515074
1369c144c119c5
142dc9d0daca5a
151604c666654a
hexb06617d2f18

12122033303320 has 128 divisors (see below), whose sum is σ = 28095873062400. Its totient is φ = 4704419414016.

The previous prime is 12122033303293. The next prime is 12122033303321. The reversal of 12122033303320 is 2330333022121.

It is a super-2 number, since 2×121220333033202 (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 (12122033303321) 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, 158654167 + ... + 158730553.

It is an arithmetic number, because the mean of its divisors is an integer number (219499008300).

Almost surely, 212122033303320 is an apocalyptic number.

12122033303320 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 12122033303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14047936531200).

12122033303320 is an abundant number, since it is smaller than the sum of its proper divisors (15973839759080).

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

12122033303320 is a wasteful number, since it uses less digits than its factorization.

12122033303320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77057 (or 77053 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 12122033303320 its reverse (2330333022121), we get a palindrome (14452366325441).

The spelling of 12122033303320 in words is "twelve trillion, one hundred twenty-two billion, thirty-three million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 257 344 359 430 514 718 860 1028 1285 1436 1720 1795 2056 2570 2872 3590 5140 7180 10280 11051 14360 15437 22102 30874 44204 55255 61748 76387 77185 88408 92263 110510 123496 152774 154370 184526 221020 305548 308740 369052 381935 442040 461315 611096 617480 738104 763870 922630 1527740 1845260 3055480 3284641 3690520 3967309 6569282 7934618 13138564 15869236 16423205 19631459 19836545 26277128 27422933 31738472 32846410 39262918 39673090 54845866 65692820 78525836 79346180 98157295 109691732 131385640 137114665 157051672 158692360 196314590 219383464 274229330 392629180 548458660 785258360 844152737 1096917320 1179186119 1688305474 2358372238 3376610948 4220763685 4716744476 5895930595 6753221896 7047693781 8441527370 9433488952 11791861190 14095387562 16883054740 23583722380 28190775124 33766109480 35238468905 47167444760 56381550248 70476937810 140953875620 281907751240 303050832583 606101665166 1212203330332 1515254162915 2424406660664 3030508325830 6061016651660 12122033303320