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220200011220000 = 2535473591511201
BaseRepresentation
bin110010000100010101001111…
…011100101100010000100000
31001212122220201101111021200010
4302010111033130230100200
5212330224110333020000
62100154253314124520
764244632360554000
oct6204251734542040
91055586641437603
10220200011220000
1164187333805309
12208442a2280740
1395b3a05cbca26
143c53a47644000
151a6cd93363d50
hexc8454f72c420

220200011220000 has 1920 divisors, whose sum is σ = 863000151552000. Its totient is φ = 49109760000000.

The previous prime is 220200011219933. The next prime is 220200011220031. The reversal of 220200011220000 is 22110002022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 183347219400 + ... + 183347220600.

It is an arithmetic number, because the mean of its divisors is an integer number (449479245600).

Almost surely, 2220200011220000 is an apocalyptic number.

220200011220000 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 220200011220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431500075776000).

220200011220000 is an abundant number, since it is smaller than the sum of its proper divisors (642800140332000).

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

220200011220000 is a wasteful number, since it uses less digits than its factorization.

220200011220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220200011220000 its reverse (22110002022), we get a palindrome (220222121222022).

The spelling of 220200011220000 in words is "two hundred twenty trillion, two hundred billion, eleven million, two hundred twenty thousand".