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12310341120 = 29355711257
BaseRepresentation
bin10110111011100000…
…01110011000000000
31011202221002010100000
423131300032120000
5200202421403440
65353313200000
7614030113230
oct133560163000
934687063300
1012310341120
115247959540
122476860000
13121254351c
1484ad23cc0
154c0b23730
hex2ddc0e600

12310341120 has 960 divisors, whose sum is σ = 55337458176. Its totient is φ = 2548039680.

The previous prime is 12310341089. The next prime is 12310341133. The reversal of 12310341120 is 2114301321.

12310341120 is a `hidden beast` number, since 1 + 2 + 310 + 341 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12310341093 and 12310341102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47900032 + ... + 47900288.

Almost surely, 212310341120 is an apocalyptic number.

12310341120 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 12310341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27668729088).

12310341120 is an abundant number, since it is smaller than the sum of its proper divisors (43027117056).

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

12310341120 is an equidigital number, since it uses as much as digits as its factorization.

12310341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12310341120 its reverse (2114301321), we get a palindrome (14424642441).

The spelling of 12310341120 in words is "twelve billion, three hundred ten million, three hundred forty-one thousand, one hundred twenty".