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12681123000 = 2335371346451
BaseRepresentation
bin10111100111101101…
…01001010010111000
31012201202202210110020
423303312221102320
5201432331414000
65454200250440
7626151524040
oct136366512270
935652683406
1012681123000
115418188447
12255aa70a20
1312712c49a0
14884280720
154e3464ba0
hex2f3da94b8

12681123000 has 256 divisors, whose sum is σ = 48696560640. Its totient is φ = 2675520000.

The previous prime is 12681122989. The next prime is 12681123017. The reversal of 12681123000 is 32118621.

It is a super-2 number, since 2×126811230002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249775 + ... + 296225.

It is an arithmetic number, because the mean of its divisors is an integer number (190220940).

Almost surely, 212681123000 is an apocalyptic number.

12681123000 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 12681123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24348280320).

12681123000 is an abundant number, since it is smaller than the sum of its proper divisors (36015437640).

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

12681123000 is a wasteful number, since it uses less digits than its factorization.

12681123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46495 (or 46481 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 12681123000 in words is "twelve billion, six hundred eighty-one million, one hundred twenty-three thousand".