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12000441332220 = 223511171967840187
BaseRepresentation
bin1010111010100001001000…
…0010101111000111111100
31120111020020101112002210020
42232220102002233013330
53033103400440112340
641304532053212140
72346001060201245
oct256502202570774
946436211462706
1012000441332220
1139073a4310280
121419923631050
13690837c73203
142d6b78461ccc
1515c25ba4a9d0
hexaea120af1fc

12000441332220 has 384 divisors, whose sum is σ = 41464689315840. Its totient is φ = 2555240878080.

The previous prime is 12000441332137. The next prime is 12000441332263. The reversal of 12000441332220 is 2223314400021.

It is a happy number.

12000441332220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13862967 + ... + 14703153.

It is an arithmetic number, because the mean of its divisors is an integer number (107980961760).

Almost surely, 212000441332220 is an apocalyptic number.

12000441332220 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 12000441332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20732344657920).

12000441332220 is an abundant number, since it is smaller than the sum of its proper divisors (29464247983620).

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

12000441332220 is a wasteful number, since it uses less digits than its factorization.

12000441332220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840313 (or 840311 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12000441332220 its reverse (2223314400021), we get a palindrome (14223755732241).

The spelling of 12000441332220 in words is "twelve trillion, four hundred forty-one million, three hundred thirty-two thousand, two hundred twenty".