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12210332320 = 25576314577
BaseRepresentation
bin10110101111100101…
…01110001010100000
31011111221220011001101
423113302232022200
5200001321113240
65335341444144
7611404053334
oct132762561240
934457804041
1012210332320
1151a646143a
122449270654
1311c78c8a14
1483b92d7c4
154b6e6b39a
hex2d7cae2a0

12210332320 has 24 divisors (see below), whose sum is σ = 28846910484. Its totient is φ = 4884132864.

The previous prime is 12210332261. The next prime is 12210332327. The reversal of 12210332320 is 2323301221.

12210332320 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 2 ways, for example, as 11670048784 + 540283536 = 108028^2 + 23244^2 .

It is not an unprimeable number, because it can be changed into a prime (12210332327) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 38157129 + ... + 38157448.

Almost surely, 212210332320 is an apocalyptic number.

12210332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210332320 is an abundant number, since it is smaller than the sum of its proper divisors (16636578164).

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

12210332320 is an equidigital number, since it uses as much as digits as its factorization.

12210332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76314592 (or 76314584 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12210332320 its reverse (2323301221), we get a palindrome (14533633541).

The spelling of 12210332320 in words is "twelve billion, two hundred ten million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 76314577 152629154 305258308 381572885 610516616 763145770 1221033232 1526291540 2442066464 3052583080 6105166160 12210332320