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12311123000 = 2353113179457
BaseRepresentation
bin10110111011100110…
…01101010000111000
31011202222112211212112
423131303031100320
5200203121414000
65353342031452
7614036550611
oct133563152070
934688484775
1012311123000
115248342a20
122476b78588
131212758387
1484b088c08
154c0c2a235
hex2ddccd438

12311123000 has 256 divisors, whose sum is σ = 32923238400. Its totient is φ = 4268160000.

The previous prime is 12311122997. The next prime is 12311123009. The reversal of 12311123000 is 32111321.

It is a super-2 number, since 2×123111230002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311123009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26938772 + ... + 26939228.

It is an arithmetic number, because the mean of its divisors is an integer number (128606400).

Almost surely, 212311123000 is an apocalyptic number.

12311123000 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 12311123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16461619200).

12311123000 is an abundant number, since it is smaller than the sum of its proper divisors (20612115400).

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

12311123000 is a wasteful number, since it uses less digits than its factorization.

12311123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12311123000 its reverse (32111321), we get a palindrome (12343234321).

The spelling of 12311123000 in words is "twelve billion, three hundred eleven million, one hundred twenty-three thousand".