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12005020000 = 25543716223
BaseRepresentation
bin10110010111000111…
…00001000101100000
31010222122120012111101
423023203201011200
5144041241120000
65303125124144
7603331662211
oct131343410540
933878505441
1012005020000
115100580236
1223b0559654
13119420173c
1481c567408
154a3e12e6a
hex2cb8e1160

12005020000 has 120 divisors (see below), whose sum is σ = 30334239936. Its totient is φ = 4671936000.

The previous prime is 12005019977. The next prime is 12005020031. The reversal of 12005020000 is 2050021.

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, 731889 + ... + 748111.

Almost surely, 212005020000 is an apocalyptic number.

12005020000 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 12005020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15167119968).

12005020000 is an abundant number, since it is smaller than the sum of its proper divisors (18329219936).

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

12005020000 is an equidigital number, since it uses as much as digits as its factorization.

12005020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16290 (or 16267 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

Adding to 12005020000 its reverse (2050021), we get a palindrome (12007070021).

It can be divided in two parts, 120050 and 20000, that multiplied together give a square (2401000000 = 490002).

The spelling of 12005020000 in words is "twelve billion, five million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 625 740 800 925 1000 1184 1250 1480 1850 2000 2500 2960 3700 4000 4625 5000 5920 7400 9250 10000 14800 16223 18500 20000 23125 29600 32446 37000 46250 64892 74000 81115 92500 129784 148000 162230 185000 259568 324460 370000 405575 519136 600251 648920 740000 811150 1200502 1297840 1622300 2027875 2401004 2595680 3001255 3244600 4055750 4802008 6002510 6489200 8111500 9604016 10139375 12005020 12978400 15006275 16223000 19208032 20278750 24010040 30012550 32446000 40557500 48020080 60025100 64892000 75031375 81115000 96040160 120050200 150062750 162230000 240100400 300125500 324460000 375156875 480200800 600251000 750313750 1200502000 1500627500 2401004000 3001255000 6002510000 12005020000