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12012002000 = 245320272963
BaseRepresentation
bin10110010111111100…
…01001101011010000
31011000010200220222222
423023332021223100
5144100033031000
65303534520212
7603445221665
oct131376115320
934003626888
1012012002000
115104509989
1223b2966068
1311957a76bb
1481d463a6c
154a4841a85
hex2cbf89ad0

12012002000 has 80 divisors (see below), whose sum is σ = 29069157312. Its totient is φ = 4800809600.

The previous prime is 12012001999. The next prime is 12012002021. The reversal of 12012002000 is 20021021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4052519 + ... + 4055481.

Almost surely, 212012002000 is an apocalyptic number.

12012002000 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 12012002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14534578656).

12012002000 is an abundant number, since it is smaller than the sum of its proper divisors (17057155312).

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

12012002000 is a wasteful number, since it uses less digits than its factorization.

12012002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12012002000 its reverse (20021021), we get a palindrome (12032023021).

The spelling of 12012002000 in words is "twelve billion, twelve million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2027 2963 4054 5926 8108 10135 11852 14815 16216 20270 23704 29630 32432 40540 47408 50675 59260 74075 81080 101350 118520 148150 162160 202700 237040 253375 296300 370375 405400 506750 592600 740750 810800 1013500 1185200 1481500 2027000 2963000 4054000 5926000 6006001 12012002 24024004 30030005 48048008 60060010 96096016 120120020 150150025 240240040 300300050 480480080 600600100 750750125 1201200200 1501500250 2402400400 3003000500 6006001000 12012002000