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12001330000 = 245411109103
BaseRepresentation
bin10110010110101010…
…11100001101010000
31010222101121201202201
423023111130031100
5144034320030000
65302514052544
7603255423202
oct131325341520
933871551681
1012001330000
1150a948a950
1223ab27a154
13119350bcca
1481bc86772
154a393496a
hex2cb55c350

12001330000 has 100 divisors (see below), whose sum is σ = 31698203328. Its totient is φ = 4364080000.

The previous prime is 12001329997. The next prime is 12001330021. The reversal of 12001330000 is 3310021.

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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55449 + ... + 164551.

Almost surely, 212001330000 is an apocalyptic number.

12001330000 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 12001330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15849101664).

12001330000 is an abundant number, since it is smaller than the sum of its proper divisors (19696873328).

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

12001330000 is a wasteful number, since it uses less digits than its factorization.

12001330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109142 (or 109121 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 12001330000 its reverse (3310021), we get a palindrome (12004640021).

The spelling of 12001330000 in words is "twelve billion, one million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 109103 110000 218206 436412 545515 872824 1091030 1200133 1745648 2182060 2400266 2727575 4364120 4800532 5455150 6000665 8728240 9601064 10910300 12001330 13637875 19202128 21820600 24002660 27275750 30003325 43641200 48005320 54551500 60006650 68189375 96010640 109103000 120013300 136378750 150016625 218206000 240026600 272757500 300033250 480053200 545515000 600066500 750083125 1091030000 1200133000 1500166250 2400266000 3000332500 6000665000 12001330000