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12032310002130 = 23351124710376079
BaseRepresentation
bin1010111100010111110110…
…0100000100000111010010
31120121021111101001021101000
42233011331210010013102
53034114132330032010
641331322241322430
72351206600341315
oct257057544040722
946537441037330
1012032310002130
113919968350700
121423b38336416
1369384651c642
142d851cb3a97c
1515cec47447c0
hexaf17d9041d2

12032310002130 has 384 divisors, whose sum is σ = 36368820633600. Its totient is φ = 2827107169920.

The previous prime is 12032310002071. The next prime is 12032310002131. The reversal of 12032310002130 is 3120001323021.

12032310002130 is a `hidden beast` number, since 120 + 323 + 10 + 0 + 0 + 213 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12032310002131) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158117431 + ... + 158193509.

It is an arithmetic number, because the mean of its divisors is an integer number (94710470400).

Almost surely, 212032310002130 is an apocalyptic number.

12032310002130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12032310002130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18184410316800).

12032310002130 is an abundant number, since it is smaller than the sum of its proper divisors (24336510631470).

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

12032310002130 is a wasteful number, since it uses less digits than its factorization.

12032310002130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76267 (or 76250 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12032310002130 its reverse (3120001323021), we get a palindrome (15152311325151).

The spelling of 12032310002130 in words is "twelve trillion, thirty-two billion, three hundred ten million, two thousand, one hundred thirty".