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12212122021002 = 2327435147177409
BaseRepresentation
bin1011000110110101101100…
…1100011110110010001010
31121020110121210002020222200
42301231123030132302022
53100040411214133002
641550101005101030
72400203524312431
oct261553314366212
947213553066880
1012212122021002
11398914a569882
12145295ab57776
136a77a1227347
143030d99a2118
151629ea6b9b1c
hexb1b5b31ec8a

12212122021002 has 48 divisors (see below), whose sum is σ = 26500506626880. Its totient is φ = 4064415860736.

The previous prime is 12212122020979. The next prime is 12212122021007. The reversal of 12212122021002 is 20012022121221.

It is a happy number.

12212122021002 is a `hidden beast` number, since 1 + 221 + 212 + 20 + 210 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12212122021007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68747274 + ... + 68924682.

It is an arithmetic number, because the mean of its divisors is an integer number (552093888060).

Almost surely, 212212122021002 is an apocalyptic number.

12212122021002 is an abundant number, since it is smaller than the sum of its proper divisors (14288384605878).

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

12212122021002 is a wasteful number, since it uses less digits than its factorization.

12212122021002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183307 (or 183304 counting only the distinct ones).

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

Adding to 12212122021002 its reverse (20012022121221), we get a palindrome (32224144142223).

The spelling of 12212122021002 in words is "twelve trillion, two hundred twelve billion, one hundred twenty-two million, twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 743 1486 2229 4458 5147 6687 10294 13374 15441 30882 46323 92646 177409 354818 532227 1064454 1596681 3193362 3824221 7648442 11472663 22945326 34417989 68835978 131814887 263629774 395444661 790889322 913124123 1186333983 1826248246 2372667966 2739372369 5478744738 8218117107 16436234214 678451223389 1356902446778 2035353670167 4070707340334 6106061010501 12212122021002