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23121120 = 25351129151
BaseRepresentation
bin101100000110…
…0110011100000
31121111200012210
41120030303200
521404333440
62143322120
7400345341
oct130146340
947450183
1023121120
1112062270
1278b0340
134a36c49
1430dc0c8
15206aa80
hex160cce0

23121120 has 192 divisors, whose sum is σ = 82736640. Its totient is φ = 5376000.

The previous prime is 23121103. The next prime is 23121127. The reversal of 23121120 is 2112132.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 23121096 and 23121105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23121127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153045 + ... + 153195.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 223121120 is an apocalyptic number.

23121120 is a gapful number since it is divisible by the number (20) 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 23121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41368320).

23121120 is an abundant number, since it is smaller than the sum of its proper divisors (59615520).

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

23121120 is a wasteful number, since it uses less digits than its factorization.

23121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 23121120 is about 4808.4425753044. The cubic root of 23121120 is about 284.8850259536.

Adding to 23121120 its reverse (2112132), we get a palindrome (25233252).

The spelling of 23121120 in words is "twenty-three million, one hundred twenty-one thousand, one hundred twenty".