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12230201000 = 235373167537
BaseRepresentation
bin10110110001111101…
…00000111010101000
31011120100021120202102
423120332200322220
5200021412413000
65341331352532
7612034664453
oct133076407250
934510246672
1012230201000
1152066a2036
122453a52748
1311cba64434
1484042249a
154b8a933d5
hex2d8fa0ea8

12230201000 has 64 divisors (see below), whose sum is σ = 29010880080. Its totient is φ = 4825036800.

The previous prime is 12230200949. The next prime is 12230201017. The reversal of 12230201000 is 10203221.

It is a happy number.

12230201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3532400356 + 8697800644 = 59434^2 + 93262^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10769 + ... + 156768.

Almost surely, 212230201000 is an apocalyptic number.

12230201000 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 12230201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14505440040).

12230201000 is an abundant number, since it is smaller than the sum of its proper divisors (16780679080).

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

12230201000 is a wasteful number, since it uses less digits than its factorization.

12230201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167631 (or 167617 counting only the distinct ones).

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

Adding to 12230201000 its reverse (10203221), we get a palindrome (12240404221).

The spelling of 12230201000 in words is "twelve billion, two hundred thirty million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 365 500 584 730 1000 1460 1825 2920 3650 7300 9125 14600 18250 36500 73000 167537 335074 670148 837685 1340296 1675370 3350740 4188425 6701480 8376850 12230201 16753700 20942125 24460402 33507400 41884250 48920804 61151005 83768500 97841608 122302010 167537000 244604020 305755025 489208040 611510050 1223020100 1528775125 2446040200 3057550250 6115100500 12230201000