Search a number
-
+
12021322000 = 24536010661
BaseRepresentation
bin10110011001000011…
…01101000100010000
31011000210020102122011
423030201231010100
5144104424301000
65304510352304
7603620360002
oct131441550420
934023212564
1012021322000
1151097a5166
1223b5abb694
1311976bb8ac
148207ac372
154a55832ba
hex2cc86d110

12021322000 has 40 divisors (see below), whose sum is σ = 29067561432. Its totient is φ = 4808528000.

The previous prime is 12021321971. The next prime is 12021322003. The reversal of 12021322000 is 22312021.

It can be written as a sum of positive squares in 4 ways, for example, as 388405264 + 11632916736 = 19708^2 + 107856^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (12021322003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3003331 + ... + 3007330.

Almost surely, 212021322000 is an apocalyptic number.

12021322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021322000 is an abundant number, since it is smaller than the sum of its proper divisors (17046239432).

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

12021322000 is an equidigital number, since it uses as much as digits as its factorization.

12021322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010684 (or 6010668 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12021322000 its reverse (22312021), we get a palindrome (12043634021).

The spelling of 12021322000 in words is "twelve billion, twenty-one million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6010661 12021322 24042644 30053305 48085288 60106610 96170576 120213220 150266525 240426440 300533050 480852880 601066100 751332625 1202132200 1502665250 2404264400 3005330500 6010661000 12021322000