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12120109152 = 253126251137
BaseRepresentation
bin10110100100110101…
…00011000001100000
31011021200010100010120
423102122203001200
5144310221443102
65322400000240
7606230141124
oct132232430140
934250110116
1012120109152
11515a538438
122423000080
1311b1cc9328
1482d965584
154ae0986bc
hex2d26a3060

12120109152 has 24 divisors (see below), whose sum is σ = 31815286776. Its totient is φ = 4040036352.

The previous prime is 12120109151. The next prime is 12120109213. The reversal of 12120109152 is 25190102121.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120109151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63125473 + ... + 63125664.

It is an arithmetic number, because the mean of its divisors is an integer number (1325636949).

Almost surely, 212120109152 is an apocalyptic number.

12120109152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12120109152 is an abundant number, since it is smaller than the sum of its proper divisors (19695177624).

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

12120109152 is a wasteful number, since it uses less digits than its factorization.

12120109152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126251150 (or 126251142 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The spelling of 12120109152 in words is "twelve billion, one hundred twenty million, one hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 126251137 252502274 378753411 505004548 757506822 1010009096 1515013644 2020018192 3030027288 4040036384 6060054576 12120109152