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12041014000 = 245313943313
BaseRepresentation
bin10110011011011001…
…10100101011110000
31011002011021212222111
423031230310223300
5144124444422000
65310452415104
7604246634041
oct131554645360
934064255874
1012041014000
115119925044
122400617494
13119b7c4a72
148232568c8
154a7172cba
hex2cdb34af0

12041014000 has 80 divisors (see below), whose sum is σ = 29325310560. Its totient is φ = 4781644800.

The previous prime is 12041013953. The next prime is 12041014003. The reversal of 12041014000 is 41014021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12041014003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256344 + ... + 299656.

It is an arithmetic number, because the mean of its divisors is an integer number (366566382).

Almost surely, 212041014000 is an apocalyptic number.

12041014000 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 12041014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14662655280).

12041014000 is an abundant number, since it is smaller than the sum of its proper divisors (17284296560).

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

12041014000 is a wasteful number, since it uses less digits than its factorization.

12041014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43475 (or 43459 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12041014000 its reverse (41014021), we get a palindrome (12082028021).

The spelling of 12041014000 in words is "twelve billion, forty-one million, fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 139 200 250 278 400 500 556 695 1000 1112 1390 2000 2224 2780 3475 5560 6950 11120 13900 17375 27800 34750 43313 55600 69500 86626 139000 173252 216565 278000 346504 433130 693008 866260 1082825 1732520 2165650 3465040 4331300 5414125 6020507 8662600 10828250 12041014 17325200 21656500 24082028 30102535 43313000 48164056 60205070 86626000 96328112 120410140 150512675 240820280 301025350 481640560 602050700 752563375 1204101400 1505126750 2408202800 3010253500 6020507000 12041014000