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21002001200012 = 22721493731928011
BaseRepresentation
bin1001100011001111010001…
…10100100011001110001100
32202100202211120111102110202
410301213220310203032030
510223044044301400022
6112400104113153032
74265226111501200
oct461475064431614
982322746442422
1021002001200012
11676799817a138
1224323b385b778
13b94632056ba1
14528706392b00
1526649c14a592
hex1319e8d2338c

21002001200012 has 72 divisors (see below), whose sum is σ = 43156427806800. Its totient is φ = 8916475559040.

The previous prime is 21002001199973. The next prime is 21002001200017. The reversal of 21002001200012 is 21000210020012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21002001199966 and 21002001200002.

It is not an unprimeable number, because it can be changed into a prime (21002001200017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9929087 + ... + 11857097.

It is an arithmetic number, because the mean of its divisors is an integer number (599394830650).

Almost surely, 221002001200012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21002001200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21578213903400).

21002001200012 is an abundant number, since it is smaller than the sum of its proper divisors (22154426606788).

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

21002001200012 is a wasteful number, since it uses less digits than its factorization.

21002001200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928551 (or 1928542 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21002001200012 its reverse (21000210020012), we get a palindrome (42002211220024).

The spelling of 21002001200012 in words is "twenty-one trillion, two billion, one million, two hundred thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 149 196 298 373 596 746 1043 1492 2086 2611 4172 5222 7301 10444 14602 18277 29204 36554 55577 73108 111154 222308 389039 778078 1556156 1928011 2723273 3856022 5446546 7712044 10893092 13496077 26992154 53984308 94472539 188945078 287273639 377890156 574547278 719148103 1149094556 1438296206 2010915473 2876592412 4021830946 5034036721 8043661892 10068073442 14076408311 20136146884 28152816622 35238257047 56305633244 70476514094 107153067347 140953028188 214306134694 428612269388 750071471429 1500142942858 3000285885716 5250500300003 10501000600006 21002001200012