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12022021300 = 2252120220213
BaseRepresentation
bin10110011001001000…
…10111110010110100
31011000211112221220011
423030210113302310
5144110114140200
65304533350004
7603626331532
oct131444276264
934024487804
1012022021300
11510a1325a3
1223b6198304
1311978a4c93
14820911152
154a56705ba
hex2cc917cb4

12022021300 has 18 divisors (see below), whose sum is σ = 26087786438. Its totient is φ = 4808808480.

The previous prime is 12022021237. The next prime is 12022021321. The reversal of 12022021300 is 312022021.

12022021300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3807136804 + 8214884496 = 61702^2 + 90636^2 .

It is a super-2 number, since 2×120220213002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60110007 + ... + 60110206.

Almost surely, 212022021300 is an apocalyptic number.

12022021300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022021300 is an abundant number, since it is smaller than the sum of its proper divisors (14065765138).

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

12022021300 is a wasteful number, since it uses less digits than its factorization.

12022021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120220227 (or 120220220 counting only the distinct ones).

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

Adding to 12022021300 its reverse (312022021), we get a palindrome (12334043321).

The spelling of 12022021300 in words is "twelve billion, twenty-two million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 120220213 240440426 480880852 601101065 1202202130 2404404260 3005505325 6011010650 12022021300