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12031330221120 = 263571847969343
BaseRepresentation
bin1010111100010100001100…
…1010011111110001000000
31120121011222002102020111110
42233011003022133301000
53034110131014033440
641331041121243320
72351143402341030
oct257050312376100
946534862366443
1012031330221120
113919505287731
121423904193540
1369371b541472
142d84689738c0
1515ce68709080
hexaf14329fc40

12031330221120 has 224 divisors, whose sum is σ = 43680222609408. Its totient is φ = 2748526589952.

The previous prime is 12031330221073. The next prime is 12031330221121. The reversal of 12031330221120 is 2112203313021.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12031330221121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11927169 + ... + 12896511.

It is an arithmetic number, because the mean of its divisors is an integer number (195000993792).

Almost surely, 212031330221120 is an apocalyptic number.

12031330221120 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 12031330221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21840111304704).

12031330221120 is an abundant number, since it is smaller than the sum of its proper divisors (31648892388288).

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

12031330221120 is a wasteful number, since it uses less digits than its factorization.

12031330221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971217 (or 971207 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12031330221120 its reverse (2112203313021), we get a palindrome (14143533534141).

The spelling of 12031330221120 in words is "twelve trillion, thirty-one billion, three hundred thirty million, two hundred twenty-one thousand, one hundred twenty".