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12230002311120 = 24335115776911291
BaseRepresentation
bin1011000111111000010011…
…1100010111111111010000
31121022011202220000002221000
42301332010330113333100
53100334021042423440
642002215133502000
72401405600262226
oct261760474277720
947264686002830
1012230002311120
113995795518450
12145630b041900
136a9390702a79
14303d1454ab16
151631e52c8730
hexb1f84f17fd0

12230002311120 has 640 divisors, whose sum is σ = 46137135605760. Its totient is φ = 2953138176000.

The previous prime is 12230002311119. The next prime is 12230002311133. The reversal of 12230002311120 is 2111320003221.

12230002311120 is a `hidden beast` number, since 1 + 2 + 230 + 0 + 0 + 2 + 311 + 120 = 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 = 12230002311093 and 12230002311102.

It is a congruent number.

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, 9473277675 + ... + 9473278965.

It is an arithmetic number, because the mean of its divisors is an integer number (72089274384).

Almost surely, 212230002311120 is an apocalyptic number.

12230002311120 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 12230002311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23068567802880).

12230002311120 is an abundant number, since it is smaller than the sum of its proper divisors (33907133294640).

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

12230002311120 is a wasteful number, since it uses less digits than its factorization.

12230002311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12230002311120 its reverse (2111320003221), we get a palindrome (14341322314341).

The spelling of 12230002311120 in words is "twelve trillion, two hundred thirty billion, two million, three hundred eleven thousand, one hundred twenty".