Search a number
-
+
12021020000 = 255411101541
BaseRepresentation
bin10110011001000001…
…00011010101100000
31011000202200002100222
423030200203111200
5144104340120000
65304500102212
7603614661353
oct131440432540
934022602328
1012021020000
115109609280
1223b5994968
1311976142b2
1482073029a
154a5523a85
hex2cc823560

12021020000 has 240 divisors, whose sum is σ = 32641663824. Its totient is φ = 4320000000.

The previous prime is 12021019949. The next prime is 12021020129. The reversal of 12021020000 is 2012021.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12021020000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22219730 + ... + 22220270.

Almost surely, 212021020000 is an apocalyptic number.

12021020000 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 12021020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16320831912).

12021020000 is an abundant number, since it is smaller than the sum of its proper divisors (20620643824).

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

12021020000 is a wasteful number, since it uses less digits than its factorization.

12021020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 660 counting only the distinct ones).

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

Adding to 12021020000 its reverse (2012021), we get a palindrome (12023032021).

The spelling of 12021020000 in words is "twelve billion, twenty-one million, twenty thousand".