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12000220011000 = 2333531322629897
BaseRepresentation
bin1010111010100000010011…
…0110011101100111111000
31120111012122222001211011000
42232220010312131213320
53033102422310323000
641304454105405000
72345662432043004
oct256500466354770
946435588054130
1012000220011000
1139072a0395381
121419881499760
13690801162300
142d6b56ccd704
1515c2473ce000
hexaea04d9d9f8

12000220011000 has 384 divisors, whose sum is σ = 45046996862400. Its totient is φ = 2953899187200.

The previous prime is 12000220010983. The next prime is 12000220011007. The reversal of 12000220011000 is 11002200021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000220011007) 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 95 ways as a sum of consecutive naturals, for example, 3248052 + ... + 5877948.

Almost surely, 212000220011000 is an apocalyptic number.

12000220011000 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 12000220011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22523498431200).

12000220011000 is an abundant number, since it is smaller than the sum of its proper divisors (33046776851400).

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

12000220011000 is a wasteful number, since it uses less digits than its factorization.

12000220011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629953 (or 2629920 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12000220011000 its reverse (11002200021), we get a palindrome (12011222211021).

The spelling of 12000220011000 in words is "twelve trillion, two hundred twenty million, eleven thousand".