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12130221400 = 23521117930803
BaseRepresentation
bin10110100110000010…
…00111110101011000
31011022101011002112021
423103001013311120
5144320314041100
65323400424224
7606412115653
oct132301076530
934271132467
1012130221400
115165214970
122426478074
1311b4129ccb
1483103889a
154aede4a1a
hex2d3047d58

12130221400 has 96 divisors (see below), whose sum is σ = 30939537600. Its totient is φ = 4386204800.

The previous prime is 12130221373. The next prime is 12130221409. The reversal of 12130221400 is 412203121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130221409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378399 + ... + 409201.

It is an arithmetic number, because the mean of its divisors is an integer number (322286850).

Almost surely, 212130221400 is an apocalyptic number.

12130221400 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 12130221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15469768800).

12130221400 is an abundant number, since it is smaller than the sum of its proper divisors (18809316200).

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

12130221400 is a wasteful number, since it uses less digits than its factorization.

12130221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31009 (or 31000 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12130221400 its reverse (412203121), we get a palindrome (12542424521).

The spelling of 12130221400 in words is "twelve billion, one hundred thirty million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 179 200 220 275 358 440 550 716 895 1100 1432 1790 1969 2200 3580 3938 4475 7160 7876 8950 9845 15752 17900 19690 30803 35800 39380 49225 61606 78760 98450 123212 154015 196900 246424 308030 338833 393800 616060 677666 770075 1232120 1355332 1540150 1694165 2710664 3080300 3388330 5513737 6160600 6776660 8470825 11027474 13553320 16941650 22054948 27568685 33883300 44109896 55137370 60651107 67766600 110274740 121302214 137843425 220549480 242604428 275686850 303255535 485208856 551373700 606511070 1102747400 1213022140 1516277675 2426044280 3032555350 6065110700 12130221400