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212120022003200 = 295277447213977
BaseRepresentation
bin110000001110110000001010…
…100011111010111000000000
31000211001110212001021122120122
4300032300022203322320000
5210300333301113100300
62031050332015355412
762452110613453643
oct6016601243727000
91024043761248518
10212120022003200
1161651661510633
121b95a346222b68
139148aa859ac6c
143a54941835a5a
15197caddd5ec85
hexc0ec0a8fae00

212120022003200 has 120 divisors (see below), whose sum is σ = 525553168350672. Its totient is φ = 84846516715520.

The previous prime is 212120022003173. The next prime is 212120022003203. The reversal of 212120022003200 is 2300220021212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120022003203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 991214612 + ... + 991428588.

Almost surely, 2212120022003200 is an apocalyptic number.

212120022003200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120022003200 is an abundant number, since it is smaller than the sum of its proper divisors (313433146347472).

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

212120022003200 is an equidigital number, since it uses as much as digits as its factorization.

212120022003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291452 (or 291431 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 212120022003200 its reverse (2300220021212), we get a palindrome (214420242024412).

The spelling of 212120022003200 in words is "two hundred twelve trillion, one hundred twenty billion, twenty-two million, three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 12800 77447 154894 213977 309788 387235 427954 619576 774470 855908 1069885 1239152 1548940 1711816 1936175 2139770 2478304 3097880 3423632 3872350 4279540 4956608 5349425 6195760 6847264 7744700 8559080 9913216 10698850 12391520 13694528 15489400 17118160 19826432 21397700 24783040 27389056 30978800 34236320 39652864 42795400 49566080 54778112 61957600 68472640 85590800 99132160 109556224 123915200 136945280 171181600 198264320 247830400 273890560 342363200 495660800 547781120 684726400 991321600 1369452800 2738905600 16571876719 33143753438 66287506876 82859383595 132575013752 165718767190 265150027504 331437534380 414296917975 530300055008 662875068760 828593835950 1060600110016 1325750137520 1657187671900 2121200220032 2651500275040 3314375343800 4242400440064 5303000550080 6628750687600 8484800880128 10606001100160 13257501375200 21212002200320 26515002750400 42424004400640 53030005500800 106060011001600 212120022003200