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12112360920 = 23345111931577
BaseRepresentation
bin10110100011111001…
…11111010111011000
31011021010112200120000
423101330333113120
5144301231022140
65321521533000
7606104240412
oct132174772730
934233480500
1012112360920
115156126040
1224204a4160
1311b051568a
1482c9099b2
154ad567a30
hex2d1f3f5d8

12112360920 has 640 divisors, whose sum is σ = 48341145600. Its totient is φ = 2687385600.

The previous prime is 12112360903. The next prime is 12112360921. The reversal of 12112360920 is 2906321121.

12112360920 is a `hidden beast` number, since 1 + 2 + 11 + 23 + 609 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112360921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20991672 + ... + 20992248.

It is an arithmetic number, because the mean of its divisors is an integer number (75533040).

Almost surely, 212112360920 is an apocalyptic number.

12112360920 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 12112360920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24170572800).

12112360920 is an abundant number, since it is smaller than the sum of its proper divisors (36228784680).

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

12112360920 is a wasteful number, since it uses less digits than its factorization.

12112360920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12112360920 in words is "twelve billion, one hundred twelve million, three hundred sixty thousand, nine hundred twenty".