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12222021021100 = 22521154720312483
BaseRepresentation
bin1011000111011010100100…
…1110001010110110101100
31121021102011122210120021221
42301312221032022312230
53100221144340133400
641554415143033124
72401004034366142
oct261665116126654
947242148716257
1012222021021100
11399236a26a0a0
12145486213b7a4
136a86bb010b57
14303798553592
15162dc9776c1a
hexb1da938adac

12222021021100 has 72 divisors (see below), whose sum is σ = 28985752168128. Its totient is φ = 4436246068800.

The previous prime is 12222021021053. The next prime is 12222021021109. The reversal of 12222021021100 is 112012022221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12222021021109) 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, 9554542 + ... + 10757941.

It is an arithmetic number, because the mean of its divisors is an integer number (402579891224).

Almost surely, 212222021021100 is an apocalyptic number.

12222021021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222021021100 is an abundant number, since it is smaller than the sum of its proper divisors (16763731147028).

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

12222021021100 is a wasteful number, since it uses less digits than its factorization.

12222021021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20313055 (or 20313048 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12222021021100 its reverse (112012022221), we get a palindrome (12334033043321).

The spelling of 12222021021100 in words is "twelve trillion, two hundred twenty-two billion, twenty-one million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 547 550 1094 1100 2188 2735 5470 6017 10940 12034 13675 24068 27350 30085 54700 60170 120340 150425 300850 601700 20312483 40624966 81249932 101562415 203124830 223437313 406249660 446874626 507812075 893749252 1015624150 1117186565 2031248300 2234373130 4468746260 5585932825 11110928201 11171865650 22221856402 22343731300 44443712804 55554641005 111109282010 122220210211 222218564020 244440420422 277773205025 488880840844 555546410050 611101051055 1111092820100 1222202102110 2444404204220 3055505255275 6111010510550 12222021021100