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12020233000 = 2353611931021
BaseRepresentation
bin10110011000111011…
…00011001100101000
31011000201012002210211
423030131203030220
5144104134424000
65304431150504
7603605203036
oct131435431450
934021162724
1012020233000
115109120a66
1223b5675434
1311973ca009
148205a7556
154a541a7ba
hex2cc763328

12020233000 has 128 divisors (see below), whose sum is σ = 28764721440. Its totient is φ = 4700160000.

The previous prime is 12020232977. The next prime is 12020233007. The reversal of 12020233000 is 33202021.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3933547524 + 8086685476 = 62718^2 + 89926^2 .

It is not an unprimeable number, because it can be changed into a prime (12020233007) 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, 11772490 + ... + 11773510.

Almost surely, 212020233000 is an apocalyptic number.

12020233000 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 12020233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14382360720).

12020233000 is an abundant number, since it is smaller than the sum of its proper divisors (16744488440).

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

12020233000 is a wasteful number, since it uses less digits than its factorization.

12020233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 12020233000 its reverse (33202021), we get a palindrome (12053435021).

The spelling of 12020233000 in words is "twelve billion, twenty million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 193 200 244 250 305 386 488 500 610 772 965 1000 1021 1220 1525 1544 1930 2042 2440 3050 3860 4084 4825 5105 6100 7625 7720 8168 9650 10210 11773 12200 15250 19300 20420 23546 24125 25525 30500 38600 40840 47092 48250 51050 58865 61000 62281 94184 96500 102100 117730 124562 127625 193000 197053 204200 235460 249124 255250 294325 311405 394106 470920 498248 510500 588650 622810 788212 985265 1021000 1177300 1245620 1471625 1557025 1576424 1970530 2354600 2491240 2943250 3114050 3941060 4926325 5886500 6228100 7785125 7882120 9852650 11773000 12020233 12456200 15570250 19705300 24040466 24631625 31140500 39410600 48080932 49263250 60101165 62281000 96161864 98526500 120202330 197053000 240404660 300505825 480809320 601011650 1202023300 1502529125 2404046600 3005058250 6010116500 12020233000