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12023201000 = 235364718583
BaseRepresentation
bin10110011001010001…
…10111110011101000
31011000220202220010202
423030220313303220
5144110414413000
65305014531332
7603642344066
oct131450676350
934026686122
1012023201000
11510a868958
1223b6666b48
131197bc8c25
14820b3b036
154a5804dd5
hex2cca37ce8

12023201000 has 64 divisors (see below), whose sum is σ = 28179290880. Its totient is φ = 4801588800.

The previous prime is 12023200999. The next prime is 12023201009. The reversal of 12023201000 is 10232021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12023201009) 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, 637709 + ... + 656291.

It is an arithmetic number, because the mean of its divisors is an integer number (440301420).

Almost surely, 212023201000 is an apocalyptic number.

12023201000 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 12023201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14089645440).

12023201000 is an abundant number, since it is smaller than the sum of its proper divisors (16156089880).

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

12023201000 is a wasteful number, since it uses less digits than its factorization.

12023201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19251 (or 19237 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 12023201000 its reverse (10232021), we get a palindrome (12033433021).

The spelling of 12023201000 in words is "twelve billion, twenty-three million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 647 1000 1294 2588 3235 5176 6470 12940 16175 18583 25880 32350 37166 64700 74332 80875 92915 129400 148664 161750 185830 323500 371660 464575 647000 743320 929150 1858300 2322875 3716600 4645750 9291500 12023201 18583000 24046402 48092804 60116005 96185608 120232010 240464020 300580025 480928040 601160050 1202320100 1502900125 2404640200 3005800250 6011600500 12023201000