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12023231220 = 223357111322959
BaseRepresentation
bin10110011001010001…
…11111001011110100
31011000220211102121000
423030220333023310
5144110421344340
65305015323300
7603642531150
oct131450771364
934026742530
1012023231220
11510a889630
1223b6680530
131197c09900
14820b48060
154a580dd30
hex2cca3f2f4

12023231220 has 1152 divisors, whose sum is σ = 53125632000. Its totient is φ = 2188892160.

The previous prime is 12023231203. The next prime is 12023231261. The reversal of 12023231220 is 2213232021.

12023231220 is a `hidden beast` number, since 120 + 2 + 323 + 1 + 220 = 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 = 12023231193 and 12023231202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 203783551 + ... + 203783609.

It is an arithmetic number, because the mean of its divisors is an integer number (46116000).

Almost surely, 212023231220 is an apocalyptic number.

12023231220 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 12023231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26562816000).

12023231220 is an abundant number, since it is smaller than the sum of its proper divisors (41102400780).

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

12023231220 is a wasteful number, since it uses less digits than its factorization.

12023231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12023231220 its reverse (2213232021), we get a palindrome (14236463241).

The spelling of 12023231220 in words is "twelve billion, twenty-three million, two hundred thirty-one thousand, two hundred twenty".