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21200120212112 = 2431157569478459
BaseRepresentation
bin1001101001000000010011…
…01000100110101010010000
32210001201012211101000122122
410310200021220212222100
510234320321233241422
6113031111211153412
74315441512351362
oct464401150465220
983051184330578
1021200120212112
116833a141a0286
122464885445868
13baa21676b06a
1453413c718d32
1526b6e53b9d42
hex134809a26a90

21200120212112 has 80 divisors (see below), whose sum is σ = 42745386739200. Its totient is φ = 10174849551360.

The previous prime is 21200120212111. The next prime is 21200120212123. The reversal of 21200120212112 is 21121202100212.

It is not an unprimeable number, because it can be changed into a prime (21200120212111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44069939 + ... + 44548397.

It is an arithmetic number, because the mean of its divisors is an integer number (534317334240).

Almost surely, 221200120212112 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 21200120212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21372693369600).

21200120212112 is an abundant number, since it is smaller than the sum of its proper divisors (21545266527088).

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

21200120212112 is a wasteful number, since it uses less digits than its factorization.

21200120212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479224 (or 479218 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21200120212112 its reverse (21121202100212), we get a palindrome (42321322312324).

The spelling of 21200120212112 in words is "twenty-one trillion, two hundred billion, one hundred twenty million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 157 248 314 496 569 628 1138 1256 2276 2512 4552 4867 9104 9734 17639 19468 35278 38936 70556 77872 89333 141112 178666 282224 357332 478459 714664 956918 1429328 1913836 2769323 3827672 5538646 7655344 11077292 14832229 22154584 29664458 44309168 59328916 75118063 118657832 150236126 237315664 272243171 300472252 544486342 600944504 1088972684 1201889008 2177945368 2328659953 4355890736 4657319906 8439538301 9314639812 16879076602 18629279624 33758153204 37258559248 42742177847 67516306408 85484355694 135032612816 170968711388 341937422776 683874845552 1325007513257 2650015026514 5300030053028 10600060106056 21200120212112