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12112133070 = 2353119796581
BaseRepresentation
bin10110100011111000…
…00111101111001110
31011021010010010000010
423101330013233032
5144301201224240
65321513014050
7606102301212
oct132174075716
934233103003
1012112133070
115155a8a934
1224203b4326
1311b0465a5b
1482c88a942
154ad520280
hex2d1f07bce

12112133070 has 64 divisors (see below), whose sum is σ = 30026557440. Its totient is φ = 3123657600.

The previous prime is 12112133029. The next prime is 12112133071. The reversal of 12112133070 is 7033121121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112133071) 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, 1837180 + ... + 1843760.

It is an arithmetic number, because the mean of its divisors is an integer number (469164960).

Almost surely, 212112133070 is an apocalyptic number.

12112133070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112133070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15013278720).

12112133070 is an abundant number, since it is smaller than the sum of its proper divisors (17914424370).

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

12112133070 is a wasteful number, since it uses less digits than its factorization.

12112133070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8601.

The product of its (nonzero) digits is 252, while the sum is 21.

Adding to 12112133070 its reverse (7033121121), we get a palindrome (19145254191).

The spelling of 12112133070 in words is "twelve billion, one hundred twelve million, one hundred thirty-three thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 1979 3958 5937 6581 9895 11874 13162 19743 19790 29685 32905 39486 59370 61349 65810 98715 122698 184047 197430 204011 306745 368094 408022 612033 613490 920235 1020055 1224066 1840470 2040110 3060165 6120330 13023799 26047598 39071397 65118995 78142794 130237990 195356985 390713970 403737769 807475538 1211213307 2018688845 2422426614 4037377690 6056066535 12112133070