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12011332213320 = 233511371013496977
BaseRepresentation
bin1010111011001001101100…
…1100001001101001001000
31120112021100101122012000220
42232302123030021221020
53033243202021311240
641313532502430040
72346535003152216
oct256623314115110
946467311565026
1012011332213320
113910a82999460
12141ba62a32320
136918823b355b
142d74cca49cb6
1515c697c335d0
hexaec9b309a48

12011332213320 has 512 divisors, whose sum is σ = 40894652736000. Its totient is φ = 2796650496000.

The previous prime is 12011332213313. The next prime is 12011332213379. The reversal of 12011332213320 is 2331223311021.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1721557672 + ... + 1721564648.

It is an arithmetic number, because the mean of its divisors is an integer number (79872368625).

Almost surely, 212011332213320 is an apocalyptic number.

12011332213320 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 12011332213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20447326368000).

12011332213320 is an abundant number, since it is smaller than the sum of its proper divisors (28883320522680).

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

12011332213320 is a wasteful number, since it uses less digits than its factorization.

12011332213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7489 (or 7485 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12011332213320 its reverse (2331223311021), we get a palindrome (14342555524341).

The spelling of 12011332213320 in words is "twelve trillion, eleven billion, three hundred thirty-two million, two hundred thirteen thousand, three hundred twenty".