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1212131000 = 23533161641
BaseRepresentation
bin100100000111111…
…1010011010111000
310010110211122010202
41020033322122320
54440301143000
6320140101332
742015641423
oct11017723270
93113748122
101212131000
11572241a63
12299b34848
13164180ca2
14b6daa9ba
1571634dd5
hex483fa6b8

1212131000 has 128 divisors (see below), whose sum is σ = 2980523520. Its totient is φ = 460800000.

The previous prime is 1212130979. The next prime is 1212131003. The reversal of 1212131000 is 1312121.

It is a super-2 number, since 2×12121310002 = 2938523122322000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212131003) 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, 1890680 + ... + 1891320.

It is an arithmetic number, because the mean of its divisors is an integer number (23285340).

Almost surely, 21212131000 is an apocalyptic number.

1212131000 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 1212131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490261760).

1212131000 is an abundant number, since it is smaller than the sum of its proper divisors (1768392520).

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

1212131000 is a wasteful number, since it uses less digits than its factorization.

1212131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1212131000 is about 34815.6717585630. The cubic root of 1212131000 is about 1066.2274341748.

Adding to 1212131000 its reverse (1312121), we get a palindrome (1213443121).

The spelling of 1212131000 in words is "one billion, two hundred twelve million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 61 62 100 122 124 125 155 200 244 248 250 305 310 488 500 610 620 641 775 1000 1220 1240 1282 1525 1550 1891 2440 2564 3050 3100 3205 3782 3875 5128 6100 6200 6410 7564 7625 7750 9455 12200 12820 15128 15250 15500 16025 18910 19871 25640 30500 31000 32050 37820 39101 39742 47275 61000 64100 75640 78202 79484 80125 94550 99355 128200 156404 158968 160250 189100 195505 198710 236375 312808 320500 378200 391010 397420 472750 496775 641000 782020 794840 945500 977525 993550 1212131 1564040 1891000 1955050 1987100 2424262 2483875 3910100 3974200 4848524 4887625 4967750 6060655 7820200 9697048 9775250 9935500 12121310 19550500 19871000 24242620 30303275 39101000 48485240 60606550 121213100 151516375 242426200 303032750 606065500 1212131000