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201120221022120 = 23325558667280617
BaseRepresentation
bin101101101110101011110011…
…010101001100011110101000
3222101002220110000010011220100
4231232223303111030132220
5202330123203040201440
61551425204245425400
760235312365020361
oct5556536325143650
9871086400104810
10201120221022120
11590a0674634574
121a68254310b260
13882b72b4797aa
1437943b08a8b68
15183b8e9db9230
hexb6eaf354c7a8

201120221022120 has 48 divisors (see below), whose sum is σ = 653640718323060. Its totient is φ = 53632058939136.

The previous prime is 201120221022113. The next prime is 201120221022167. The reversal of 201120221022120 is 21220122021102.

It is a happy number.

201120221022120 is a `hidden beast` number, since 2 + 0 + 11 + 202 + 210 + 221 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 186167413685124 + 14952807336996 = 13644318^2 + 3866886^2 .

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 = 201120221022093 and 201120221022102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279333639949 + ... + 279333640668.

Almost surely, 2201120221022120 is an apocalyptic number.

201120221022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201120221022120 is an abundant number, since it is smaller than the sum of its proper divisors (452520497300940).

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

201120221022120 is a wasteful number, since it uses less digits than its factorization.

201120221022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558667280634 (or 558667280627 counting only the distinct ones).

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

Adding to 201120221022120 its reverse (21220122021102), we get a palindrome (222340343043222).

The spelling of 201120221022120 in words is "two hundred one trillion, one hundred twenty billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 558667280617 1117334561234 1676001841851 2234669122468 2793336403085 3352003683702 4469338244936 5028005525553 5586672806170 6704007367404 8380009209255 10056011051106 11173345612340 13408014734808 16760018418510 20112022102212 22346691224680 25140027627765 33520036837020 40224044204424 50280055255530 67040073674040 100560110511060 201120221022120