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12112410816 = 2637117867
BaseRepresentation
bin10110100011111010…
…01011100011000000
31011021010122020000000
423101331023203000
5144301234121231
65321523000000
7606104536032
oct132175134300
934233566000
1012112410816
11515615a580
122420509000
1311b05322bc
1482c91dc52
154ad5776e6
hex2d1f4b8c0

12112410816 has 224 divisors, whose sum is σ = 39329928960. Its totient is φ = 3669960960.

The previous prime is 12112410803. The next prime is 12112410823. The reversal of 12112410816 is 61801421121.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12112410816.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1535715 + ... + 1543581.

It is an arithmetic number, because the mean of its divisors is an integer number (175580040).

Almost surely, 212112410816 is an apocalyptic number.

12112410816 is a gapful number since it is divisible by the number (16) 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 12112410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19664964480).

12112410816 is an abundant number, since it is smaller than the sum of its proper divisors (27217518144).

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

12112410816 is an frugal number, since it uses more digits than its factorization.

12112410816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7911 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 12112410816 its reverse (61801421121), we get a palindrome (73913831937).

The spelling of 12112410816 in words is "twelve billion, one hundred twelve million, four hundred ten thousand, eight hundred sixteen".