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12130122030 = 235132172329211
BaseRepresentation
bin10110100110000001…
…01111100100101110
31011022100222001012220
423103000233210232
5144320302401110
65323354340210
7606411223155
oct132300574456
934270861186
1012130122030
115165157244
12242642a666
1311b40c3a00
1483101059c
154aedc5370
hex2d302f92e

12130122030 has 384 divisors, whose sum is σ = 36201323520. Its totient is φ = 2583060480.

The previous prime is 12130121959. The next prime is 12130122049. The reversal of 12130122030 is 3022103121.

12130122030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

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 191 ways as a sum of consecutive naturals, for example, 57488625 + ... + 57488835.

It is an arithmetic number, because the mean of its divisors is an integer number (94274280).

Almost surely, 212130122030 is an apocalyptic number.

12130122030 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 12130122030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18100661760).

12130122030 is an abundant number, since it is smaller than the sum of its proper divisors (24071201490).

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

12130122030 is a wasteful number, since it uses less digits than its factorization.

12130122030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12130122030 its reverse (3022103121), we get a palindrome (15152225151).

The spelling of 12130122030 in words is "twelve billion, one hundred thirty million, one hundred twenty-two thousand, thirty".