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22120121220021 = 3211271982175641
BaseRepresentation
bin1010000011110001111011…
…11101111011101110110101
32220022122220021120120201200
411001320331331323232311
510344404002013020041
6115013502101443113
74442061140034336
oct501707575735665
986278807516650
1022120121220021
1170590aa838380
12259303ba10499
13c45bc2b95796
145668961aa28d
152855dd7b11b6
hex141e3df7bbb5

22120121220021 has 24 divisors (see below), whose sum is σ = 34868768413440. Its totient is φ = 13401203371200.

The previous prime is 22120121220019. The next prime is 22120121220083. The reversal of 22120121220021 is 12002212102122.

It is a happy number.

22120121220021 is a `hidden beast` number, since 221 + 201 + 2 + 1 + 220 + 0 + 21 = 666.

It is not a de Polignac number, because 22120121220021 - 21 = 22120121220019 is a prime.

It is a super-3 number, since 3×221201212200213 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22120121219976 and 22120121220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120121220091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40818640 + ... + 41357001.

It is an arithmetic number, because the mean of its divisors is an integer number (1452865350560).

Almost surely, 222120121220021 is an apocalyptic number.

It is an amenable number.

22120121220021 is a deficient number, since it is larger than the sum of its proper divisors (12748647193419).

22120121220021 is a wasteful number, since it uses less digits than its factorization.

22120121220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82178377 (or 82178374 counting only the distinct ones).

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

Adding to 22120121220021 its reverse (12002212102122), we get a palindrome (34122333322143).

The spelling of 22120121220021 in words is "twenty-two trillion, one hundred twenty billion, one hundred twenty-one million, two hundred twenty thousand, twenty-one".

Divisors: 1 3 9 11 33 99 2719 8157 24471 29909 89727 269181 82175641 246526923 739580769 903932051 2711796153 8135388459 223435567879 670306703637 2010920110911 2457791246669 7373373740007 22120121220021