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12101123320 = 235111321091493
BaseRepresentation
bin10110100010100100…
…00111110011111000
31011020100101202110121
423101102013303320
5144240341421240
65320441023024
7605606564626
oct132122076370
934210352417
1012101123320
11514a850070
122418784a74
1311ab0ac700
1482b222516
154ac59804a
hex2d1487cf8

12101123320 has 192 divisors, whose sum is σ = 32480157600. Its totient is φ = 4021954560.

The previous prime is 12101123303. The next prime is 12101123369. The reversal of 12101123320 is 2332110121.

12101123320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12101123294 and 12101123303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8104494 + ... + 8105986.

Almost surely, 212101123320 is an apocalyptic number.

12101123320 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 12101123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16240078800).

12101123320 is an abundant number, since it is smaller than the sum of its proper divisors (20379034280).

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

12101123320 is a wasteful number, since it uses less digits than its factorization.

12101123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12101123320 its reverse (2332110121), we get a palindrome (14433233441).

The spelling of 12101123320 in words is "twelve billion, one hundred one million, one hundred twenty-three thousand, three hundred twenty".