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12121120 = 255117197
BaseRepresentation
bin101110001111…
…010000100000
3211210211001101
4232033100200
511100333440
61111444144
7205012354
oct56172040
924724041
1012121120
116929860
124086654
13268517b
141877464
1510e669a
hexb8f420

12121120 has 96 divisors (see below), whose sum is σ = 32006016. Its totient is φ = 4300800.

The previous prime is 12121103. The next prime is 12121121. The reversal of 12121120 is 2112121.

Adding to 12121120 its reverse (2112121), we get a palindrome (14233241).

It can be divided in two parts, 1212 and 1120, that added together give a palindrome (2332).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12121097 and 12121106.

It is not an unprimeable number, because it can be changed into a prime (12121121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124912 + ... + 125008.

It is an arithmetic number, because the mean of its divisors is an integer number (333396).

Almost surely, 212121120 is an apocalyptic number.

12121120 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 12121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003008).

12121120 is an abundant number, since it is smaller than the sum of its proper divisors (19884896).

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

12121120 is a wasteful number, since it uses less digits than its factorization.

12121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 12121120 is about 3481.5398891870. The cubic root of 12121120 is about 229.7105369246.

The spelling of 12121120 in words is "twelve million, one hundred twenty-one thousand, one hundred twenty".