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220201121022120 = 233257414349564037
BaseRepresentation
bin110010000100010110010001…
…100110010000000010101000
31001212200000120201210001222100
4302010112101212100002220
5212330233343440201440
62100154555401053400
764245002024663460
oct6204262146200250
91055600521701870
10220201121022120
1164187853205047
1220844551a87260
1395b3b51bc3184
143c53b10bb4ba0
151a6ce0a9d4230
hexc845919900a8

220201121022120 has 384 divisors, whose sum is σ = 857323043216640. Its totient is φ = 47962126356480.

The previous prime is 220201121022109. The next prime is 220201121022173. The reversal of 220201121022120 is 21220121102022.

It is a happy number.

220201121022120 is a `hidden beast` number, since 2 + 202 + 0 + 11 + 210 + 221 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220201121022093 and 220201121022102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20339259 + ... + 29224778.

It is an arithmetic number, because the mean of its divisors is an integer number (2232612091710).

Almost surely, 2220201121022120 is an apocalyptic number.

220201121022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220201121022120 is an abundant number, since it is smaller than the sum of its proper divisors (637121922194520).

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

220201121022120 is a wasteful number, since it uses less digits than its factorization.

220201121022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49564145 (or 49564138 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220201121022120 its reverse (21220121102022), we get a palindrome (241421242124142).

The spelling of 220201121022120 in words is "two hundred twenty trillion, two hundred one billion, one hundred twenty-one million, twenty-two thousand, one hundred twenty".