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21212012210000 = 245418791128899
BaseRepresentation
bin1001101001010110011100…
…11100111110011101010000
32210002211220121021002221212
410310223032130332131100
510240014200111210000
6113040355222035252
74316342302564223
oct464531634763520
983084817232855
1021212012210000
116838a66995307
122467043b78b28
13bab3904199c1
14534949c615ba
1526bb8e404c35
hex134ace73e750

21212012210000 has 100 divisors (see below), whose sum is σ = 51383780052000. Its totient is φ = 8480281776000.

The previous prime is 21212012209991. The next prime is 21212012210017. The reversal of 21212012210000 is 1221021212.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18225551 + ... + 19354449.

It is an arithmetic number, because the mean of its divisors is an integer number (513837800520).

Almost surely, 221212012210000 is an apocalyptic number.

21212012210000 is a gapful number since it is divisible by the number (20) 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 21212012210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25691890026000).

21212012210000 is an abundant number, since it is smaller than the sum of its proper divisors (30171767842000).

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

21212012210000 is a wasteful number, since it uses less digits than its factorization.

21212012210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130806 (or 1130785 counting only the distinct ones).

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

Adding to 21212012210000 its reverse (1221021212), we get a palindrome (21213233231212).

The spelling of 21212012210000 in words is "twenty-one trillion, two hundred twelve billion, twelve million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1879 2000 2500 3758 5000 7516 9395 10000 15032 18790 30064 37580 46975 75160 93950 150320 187900 234875 375800 469750 751600 939500 1128899 1174375 1879000 2257798 2348750 3758000 4515596 4697500 5644495 9031192 9395000 11288990 18062384 18790000 22577980 28222475 45155960 56444950 90311920 112889900 141112375 225779800 282224750 451559600 564449500 705561875 1128899000 1411123750 2121201221 2257798000 2822247500 4242402442 5644495000 8484804884 10606006105 11288990000 16969609768 21212012210 33939219536 42424024420 53030030525 84848048840 106060061050 169696097680 212120122100 265150152625 424240244200 530300305250 848480488400 1060600610500 1325750763125 2121201221000 2651501526250 4242402442000 5303003052500 10606006105000 21212012210000