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12021332880336 = 243131910324140847
BaseRepresentation
bin1010111011101110111101…
…0001101010101111010000
31120120020011100122201010120
42232323233101222233100
53033424142204132321
641322305111430240
72350340556342633
oct256735721525720
946506140581116
1012021332880336
11391524501961a
121421994085380
136927b72754c0
142d7b9ad03c1a
1515ca80bc3ec6
hexaeeef46abd0

12021332880336 has 320 divisors, whose sum is σ = 35694328750080. Its totient is φ = 3455689236480.

The previous prime is 12021332880311. The next prime is 12021332880407. The reversal of 12021332880336 is 63308823312021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294281065 + ... + 294321911.

It is an arithmetic number, because the mean of its divisors is an integer number (111544777344).

Almost surely, 212021332880336 is an apocalyptic number.

12021332880336 is a gapful number since it is divisible by the number (16) 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 12021332880336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17847164375040).

12021332880336 is an abundant number, since it is smaller than the sum of its proper divisors (23672995869744).

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

12021332880336 is a wasteful number, since it uses less digits than its factorization.

12021332880336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41234 (or 41228 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 12021332880336 in words is "twelve trillion, twenty-one billion, three hundred thirty-two million, eight hundred eighty thousand, three hundred thirty-six".