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121220201201200 = 24524136343203381
BaseRepresentation
bin11011100011111111000111…
…000010000011111000110000
3120220012112112020121111022221
4123203333013002003320300
5111342032433001414300
61105451442555210424
734350604406233423
oct3343770702037060
9526175466544287
10121220201201200
1135696220412802
1211719354146a14
135284028ca726a
1421d11364959ba
15e03337aa231a
hex6e3fc7083e30

121220201201200 has 120 divisors (see below), whose sum is σ = 298344417297696. Its totient is φ = 47303910144000.

The previous prime is 121220201201191. The next prime is 121220201201221. The reversal of 121220201201200 is 2102102022121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595923510 + ... + 596126890.

Almost surely, 2121220201201200 is an apocalyptic number.

121220201201200 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 121220201201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149172208648848).

121220201201200 is an abundant number, since it is smaller than the sum of its proper divisors (177124216096496).

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

121220201201200 is a wasteful number, since it uses less digits than its factorization.

121220201201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239783 (or 239772 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121220201201200 its reverse (2102102022121), we get a palindrome (123322303223321).

The spelling of 121220201201200 in words is "one hundred twenty-one trillion, two hundred twenty billion, two hundred one million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 3280 4100 8200 16400 36343 72686 145372 181715 203381 290744 363430 406762 581488 726860 813524 908575 1016905 1453720 1490063 1627048 1817150 2033810 2907440 2980126 3254096 3634300 4067620 5084525 5960252 7268600 7450315 8135240 8338621 10169050 11920504 14537200 14900630 16270480 16677242 20338100 23841008 29801260 33354484 37251575 40676200 41693105 59602520 66708968 74503150 81352400 83386210 119205040 133417936 149006300 166772420 208465525 298012600 333544840 416931050 596025200 667089680 833862100 1667724200 3335448400 7391475683 14782951366 29565902732 36957378415 59131805464 73914756830 118263610928 147829513660 184786892075 295659027320 303050503003 369573784150 591318054640 606101006006 739147568300 1212202012012 1478295136600 1515252515015 2424404024024 2956590273200 3030505030030 4848808048048 6061010060060 7576262575075 12122020120120 15152525150150 24244040240240 30305050300300 60610100600600 121220201201200