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1212130000 = 2454472579
BaseRepresentation
bin100100000111111…
…1010001011010000
310010110211120202201
41020033322023100
54440301130000
6320140052544
742015635464
oct11017721320
93113746681
101212130000
11572241234
12299b34154
131641806b3
14b6daa4a4
157163496a
hex483fa2d0

1212130000 has 100 divisors (see below), whose sum is σ = 2998290240. Its totient is φ = 474352000.

The previous prime is 1212129983. The next prime is 1212130009. The reversal of 1212130000 is 312121.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212130009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 468711 + ... + 471289.

Almost surely, 21212130000 is an apocalyptic number.

1212130000 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 1212130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499145120).

1212130000 is an abundant number, since it is smaller than the sum of its proper divisors (1786160240).

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

1212130000 is an equidigital number, since it uses as much as digits as its factorization.

1212130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1212130000 is about 34815.6573972114. The cubic root of 1212130000 is about 1066.2271409646.

Adding to 1212130000 its reverse (312121), we get a palindrome (1212442121).

The spelling of 1212130000 in words is "one billion, two hundred twelve million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 625 752 940 1000 1175 1250 1880 2000 2350 2500 2579 3760 4700 5000 5158 5875 9400 10000 10316 11750 12895 18800 20632 23500 25790 29375 41264 47000 51580 58750 64475 94000 103160 117500 121213 128950 206320 235000 242426 257900 322375 470000 484852 515800 606065 644750 969704 1031600 1212130 1289500 1611875 1939408 2424260 2579000 3030325 3223750 4848520 5158000 6060650 6447500 9697040 12121300 12895000 15151625 24242600 25790000 30303250 48485200 60606500 75758125 121213000 151516250 242426000 303032500 606065000 1212130000