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12112064140 = 22511196594397
BaseRepresentation
bin10110100011110111…
…10110111010001100
31011021002222121110011
423101323312322030
5144301142023030
65321511323004
7606101563231
oct132173667214
934232877404
1012112064140
115155a43070
122420380464
1311b0440577
1482c86d788
154ad509b2a
hex2d1ef6e8c

12112064140 has 96 divisors (see below), whose sum is σ = 29259014400. Its totient is φ = 4165297920.

The previous prime is 12112064131. The next prime is 12112064143. The reversal of 12112064140 is 4146021121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (12112064143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2752422 + ... + 2756818.

It is an arithmetic number, because the mean of its divisors is an integer number (304781400).

Almost surely, 212112064140 is an apocalyptic number.

12112064140 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 12112064140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629507200).

12112064140 is an abundant number, since it is smaller than the sum of its proper divisors (17146950260).

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

12112064140 is a wasteful number, since it uses less digits than its factorization.

12112064140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5095 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 12112064140 its reverse (4146021121), we get a palindrome (16258085261).

The spelling of 12112064140 in words is "twelve billion, one hundred twelve million, sixty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 659 836 1045 1318 2090 2636 3295 4180 4397 6590 7249 8794 12521 13180 14498 17588 21985 25042 28996 36245 43970 48367 50084 62605 72490 83543 87940 96734 125210 137731 144980 167086 193468 241835 250420 275462 334172 417715 483670 550924 688655 835430 918973 967340 1377310 1670860 1837946 2754620 2897623 3675892 4594865 5795246 9189730 11590492 14488115 18379460 28976230 31873853 55054837 57952460 63747706 110109674 127495412 159369265 220219348 275274185 318738530 550548370 605603207 637477060 1101096740 1211206414 2422412828 3028016035 6056032070 12112064140