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22120200211221 = 3277137931303789
BaseRepresentation
bin1010000011110010000101…
…01011010000101100010101
32220022200002210012202021200
411001321002223100230111
510344404132223224341
6115013514002503113
74442063116326360
oct501710253205425
986280083182250
1022120200211221
11705914038a662
122593062364a99
13c45c06361938
145668a288d0d7
152855e56b5db6
hex141e42ad0b15

22120200211221 has 48 divisors (see below), whose sum is σ = 37039985498880. Its totient is φ = 12458789521920.

The previous prime is 22120200211211. The next prime is 22120200211297. The reversal of 22120200211221 is 12211200202122.

It is a happy number.

22120200211221 is a `hidden beast` number, since 2 + 212 + 0 + 20 + 0 + 211 + 221 = 666.

It is not a de Polignac number, because 22120200211221 - 27 = 22120200211093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22120200211194 and 22120200211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120200211211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16314195 + ... + 17617983.

It is an arithmetic number, because the mean of its divisors is an integer number (771666364560).

Almost surely, 222120200211221 is an apocalyptic number.

22120200211221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22120200211221 is a deficient number, since it is larger than the sum of its proper divisors (14919785287659).

22120200211221 is a wasteful number, since it uses less digits than its factorization.

22120200211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307666 (or 1307663 counting only the distinct ones).

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

Adding to 22120200211221 its reverse (12211200202122), we get a palindrome (34331400413343).

Subtracting from 22120200211221 its reverse (12211200202122), we obtain a palindrome (9909000009099).

The spelling of 22120200211221 in words is "twenty-two trillion, one hundred twenty billion, two hundred million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 71 213 497 639 1491 3793 4473 11379 26551 34137 79653 238959 269303 807909 1303789 1885121 2423727 3911367 5655363 9126523 11734101 16966089 27379569 82138707 92569019 277707057 647983133 833121171 1943949399 4945271677 5831848197 14835815031 34616901739 44507445093 103850705217 311552115651 351114289067 1053342867201 2457800023469 3160028601603 7373400070407 22120200211221