Search a number
-
+
12000111020100 = 2233527290703787
BaseRepresentation
bin1010111010011111111001…
…0110101100100001000100
31120111012101100222111202000
42232213332112230201010
53033102211410120400
641304435213345300
72345656636453200
oct256477626544104
946435340874660
1012000111020100
113907244912955
121419850a98230
136907b46c1358
142d6b4663bb00
1515c23ca50600
hexae9fe5ac844

12000111020100 has 216 divisors, whose sum is σ = 44876606150880. Its totient is φ = 2742882488640.

The previous prime is 12000111020077. The next prime is 12000111020123. The reversal of 12000111020100 is 102011100021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12000111020077) and next prime (12000111020123).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 45219594 + ... + 45484193.

Almost surely, 212000111020100 is an apocalyptic number.

12000111020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000111020100 is an abundant number, since it is smaller than the sum of its proper divisors (32876495130780).

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

12000111020100 is a wasteful number, since it uses less digits than its factorization.

12000111020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90703824 (or 90703804 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12000111020100 its reverse (102011100021), we get a palindrome (12102122120121).

The spelling of 12000111020100 in words is "twelve trillion, one hundred eleven million, twenty thousand, one hundred".