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12032033220 = 22355171371063
BaseRepresentation
bin10110011010010101…
…00100000111000100
31011001112101121200000
423031022210013010
5144120200030340
65305532121300
7604110411024
oct131512440704
934045347600
1012032033220
115114850709
1223b9606230
13119999c0ac
14821d99a84
154a649bd30
hex2cd2a41c4

12032033220 has 288 divisors, whose sum is σ = 40405817088. Its totient is φ = 2994941952.

The previous prime is 12032033179. The next prime is 12032033257. The reversal of 12032033220 is 2233023021.

It is a happy number.

12032033220 is a `hidden beast` number, since 1 + 20 + 320 + 3 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12032033193 and 12032033202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11318409 + ... + 11319471.

It is an arithmetic number, because the mean of its divisors is an integer number (140297976).

Almost surely, 212032033220 is an apocalyptic number.

12032033220 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 12032033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20202908544).

12032033220 is an abundant number, since it is smaller than the sum of its proper divisors (28373783868).

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

12032033220 is a wasteful number, since it uses less digits than its factorization.

12032033220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12032033220 its reverse (2233023021), we get a palindrome (14265056241).

The spelling of 12032033220 in words is "twelve billion, thirty-two million, thirty-three thousand, two hundred twenty".