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20210122011200 = 2652117213159199
BaseRepresentation
bin1001001100001100010010…
…01001001011001001000000
32122120001212011002122011212
410212012021021023021000
510122110312213324300
6110552222450025252
74154063443446422
oct446061111131100
978501764078155
1020210122011200
116492078aa9050
122324a34b78228
13b37a6366c844
144dc264782812
15250aa1c69935
hex12618924b240

20210122011200 has 168 divisors, whose sum is σ = 54258259987200. Its totient is φ = 7348070246400.

The previous prime is 20210122011179. The next prime is 20210122011221. The reversal of 20210122011200 is 211022101202.

It is an interprime number because it is at equal distance from previous prime (20210122011179) and next prime (20210122011221).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126869201 + ... + 127028399.

Almost surely, 220210122011200 is an apocalyptic number.

20210122011200 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 20210122011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27129129993600).

20210122011200 is an abundant number, since it is smaller than the sum of its proper divisors (34048137976000).

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

20210122011200 is a wasteful number, since it uses less digits than its factorization.

20210122011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166445 (or 166430 counting only the distinct ones).

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

Adding to 20210122011200 its reverse (211022101202), we get a palindrome (20421144112402).

The spelling of 20210122011200 in words is "twenty trillion, two hundred ten billion, one hundred twenty-two million, eleven thousand, two hundred".