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12102322320 = 24335111094673
BaseRepresentation
bin10110100010101101…
…01100100010010000
31011020102122200012000
423101112230202100
5144241143303240
65320522434000
7605623020354
oct132126544220
934212580160
1012102322320
115150499980
122419062900
1311ab40c38a
1482b455464
154ac733430
hex2d15ac890

12102322320 has 320 divisors, whose sum is σ = 45902419200. Its totient is φ = 2906357760.

The previous prime is 12102322277. The next prime is 12102322333. The reversal of 12102322320 is 2322320121.

12102322320 is a `hidden beast` number, since 1 + 21 + 0 + 2 + 322 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12102322293 and 12102322302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2587504 + ... + 2592176.

It is an arithmetic number, because the mean of its divisors is an integer number (143445060).

Almost surely, 212102322320 is an apocalyptic number.

12102322320 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 12102322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22951209600).

12102322320 is an abundant number, since it is smaller than the sum of its proper divisors (33800096880).

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

12102322320 is a wasteful number, since it uses less digits than its factorization.

12102322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4815 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12102322320 its reverse (2322320121), we get a palindrome (14424642441).

The spelling of 12102322320 in words is "twelve billion, one hundred two million, three hundred twenty-two thousand, three hundred twenty".