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21011202121200 = 24352373457136889
BaseRepresentation
bin1001100011100000011010…
…01111010001110111110000
32202101122120210122122112120
410301300031033101313300
510223221420220334300
6112404225112554240
74266003114154254
oct461601517216760
982348523578476
1021011202121200
116770889922435
1224341410b2980
13b9546a324855
14528d3a34a264
15266839cb43a0
hex131c0d3d1df0

21011202121200 has 240 divisors, whose sum is σ = 69145462844640. Its totient is φ = 5449938370560.

The previous prime is 21011202121177. The next prime is 21011202121241. The reversal of 21011202121200 is 212120211012.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×210112021212003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21011202121200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153422356 + ... + 153559244.

It is an arithmetic number, because the mean of its divisors is an integer number (288106095186).

Almost surely, 221011202121200 is an apocalyptic number.

21011202121200 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 21011202121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34572731422320).

21011202121200 is an abundant number, since it is smaller than the sum of its proper divisors (48134260723440).

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

21011202121200 is a wasteful number, since it uses less digits than its factorization.

21011202121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140404 (or 140393 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21011202121200 its reverse (212120211012), we get a palindrome (21223322332212).

The spelling of 21011202121200 in words is "twenty-one trillion, eleven billion, two hundred two million, one hundred twenty-one thousand, two hundred".