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12123213000 = 2335334911579
BaseRepresentation
bin10110100101001100…
…11000110011001000
31011021212222000210220
423102212120303020
5144312020304000
65322550310040
7606265416213
oct132246306310
934255860726
1012123213000
1151612683a8
122424058320
1311b2845022
1483013277a
154ae4ad1a0
hex2d2998cc8

12123213000 has 128 divisors (see below), whose sum is σ = 37936080000. Its totient is φ = 3223315200.

The previous prime is 12123212993. The next prime is 12123213007. The reversal of 12123213000 is 31232121.

It is an interprime number because it is at equal distance from previous prime (12123212993) and next prime (12123213007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12123213007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1041211 + ... + 1052789.

It is an arithmetic number, because the mean of its divisors is an integer number (296375625).

Almost surely, 212123213000 is an apocalyptic number.

12123213000 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 12123213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18968040000).

12123213000 is an abundant number, since it is smaller than the sum of its proper divisors (25812867000).

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

12123213000 is a wasteful number, since it uses less digits than its factorization.

12123213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11952 (or 11938 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12123213000 its reverse (31232121), we get a palindrome (12154445121).

The spelling of 12123213000 in words is "twelve billion, one hundred twenty-three million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 349 375 500 600 698 750 1000 1047 1396 1500 1745 2094 2792 3000 3490 4188 5235 6980 8376 8725 10470 11579 13960 17450 20940 23158 26175 34737 34900 41880 43625 46316 52350 57895 69474 69800 87250 92632 104700 115790 130875 138948 173685 174500 209400 231580 261750 277896 289475 347370 349000 463160 523500 578950 694740 868425 1047000 1157900 1389480 1447375 1736850 2315800 2894750 3473700 4041071 4342125 5789500 6947400 8082142 8684250 11579000 12123213 16164284 17368500 20205355 24246426 32328568 34737000 40410710 48492852 60616065 80821420 96985704 101026775 121232130 161642840 202053550 242464260 303080325 404107100 484928520 505133875 606160650 808214200 1010267750 1212321300 1515401625 2020535500 2424642600 3030803250 4041071000 6061606500 12123213000