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12022222130100 = 2233527133115110453
BaseRepresentation
bin1010111011110010010001…
…0001111000101110110100
31120120022110022221021111000
42232330210101320232310
53033433002331130400
641322533235243300
72350401605005560
oct256744421705664
946508408837430
1012022222130100
113915660a79086
121421ba1a49530
136928c95769b0
142d7c430626a0
1515cad3cca600
hexaef24478bb4

12022222130100 has 1152 divisors, whose sum is σ = 49432640552960. Its totient is φ = 2438242560000.

The previous prime is 12022222130053. The next prime is 12022222130101. The reversal of 12022222130100 is 103122222021.

12022222130100 is a `hidden beast` number, since 120 + 2 + 22 + 221 + 301 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022222130101) 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 383 ways as a sum of consecutive naturals, for example, 1150116474 + ... + 1150126926.

Almost surely, 212022222130100 is an apocalyptic number.

12022222130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022222130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24716320276480).

12022222130100 is an abundant number, since it is smaller than the sum of its proper divisors (37410418422860).

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

12022222130100 is a wasteful number, since it uses less digits than its factorization.

12022222130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10678 (or 10665 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12022222130100 its reverse (103122222021), we get a palindrome (12125344352121).

The spelling of 12022222130100 in words is "twelve trillion, twenty-two billion, two hundred twenty-two million, one hundred thirty thousand, one hundred".