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12120111000 = 23355349877
BaseRepresentation
bin10110100100110101…
…00011011110011000
31011021200010102200000
423102122203132120
5144310222023000
65322400013000
7606230146404
oct132232433630
934250112600
1012120111000
11515a539868
122423001160
1311b1cca11a
1482d966104
154ae099000
hex2d26a3798

12120111000 has 192 divisors, whose sum is σ = 42484085280. Its totient is φ = 3231964800.

The previous prime is 12120110987. The next prime is 12120111007. The reversal of 12120111000 is 11102121.

It is a happy number.

12120111000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120111007) by changing a digit.

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, 218062 + ... + 267938.

Almost surely, 212120111000 is an apocalyptic number.

12120111000 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 12120111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21242042640).

12120111000 is an abundant number, since it is smaller than the sum of its proper divisors (30363974280).

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

12120111000 is an equidigital number, since it uses as much as digits as its factorization.

12120111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49913 (or 49887 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12120111000 its reverse (11102121), we get a palindrome (12131213121).

The spelling of 12120111000 in words is "twelve billion, one hundred twenty million, one hundred eleven thousand".