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12121141840 = 245151514273
BaseRepresentation
bin10110100100111100…
…11111001001010000
31011021202001210201021
423102132133021100
5144311003014330
65322434045224
7606242001643
oct132236371120
934252053637
1012121141840
1151600832a5
122423419814
1311b229b3a2
1482db53a5a
154ae1ee67a
hex2d279f250

12121141840 has 20 divisors (see below), whose sum is σ = 28181654964. Its totient is φ = 4848456704.

The previous prime is 12121141829. The next prime is 12121141843. The reversal of 12121141840 is 4814112121.

It is a happy number.

12121141840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1608330816 + 10512811024 = 40104^2 + 102532^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121141843) 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 3 ways as a sum of consecutive naturals, for example, 75757057 + ... + 75757216.

Almost surely, 212121141840 is an apocalyptic number.

12121141840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121141840 is an abundant number, since it is smaller than the sum of its proper divisors (16060513124).

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

12121141840 is a wasteful number, since it uses less digits than its factorization.

12121141840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151514286 (or 151514280 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

Adding to 12121141840 its reverse (4814112121), we get a palindrome (16935253961).

The spelling of 12121141840 in words is "twelve billion, one hundred twenty-one million, one hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151514273 303028546 606057092 757571365 1212114184 1515142730 2424228368 3030285460 6060570920 12121141840