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12013221220 = 22572112137793
BaseRepresentation
bin10110011000000101…
…10011010101100100
31011000012222212110021
423030002303111210
5144100341034340
65304021004524
7603461460400
oct131402632544
934005885407
1012013221220
115105171a00
1223b3253744
131195b13630
1481d6a0100
154a49d2e4a
hex2cc0b3564

12013221220 has 216 divisors, whose sum is σ = 34742752632. Its totient is φ = 3455907840.

The previous prime is 12013221217. The next prime is 12013221301. The reversal of 12013221220 is 2212231021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2177342244 + 9835878976 = 46662^2 + 99176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12013221194 and 12013221203.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1537644 + ... + 1545436.

It is an arithmetic number, because the mean of its divisors is an integer number (160846077).

Almost surely, 212013221220 is an apocalyptic number.

12013221220 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 12013221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17371376316).

12013221220 is an abundant number, since it is smaller than the sum of its proper divisors (22729531412).

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

12013221220 is a wasteful number, since it uses less digits than its factorization.

12013221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7851 (or 7831 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12013221220 its reverse (2212231021), we get a palindrome (14225452241).

The spelling of 12013221220 in words is "twelve billion, thirteen million, two hundred twenty-one thousand, two hundred twenty".