12000122010 has 192 divisors, whose sum is σ = 34418442240. Its totient is φ = 2887557120.

The previous prime is 12000121981. The next prime is 12000122021. The reversal of 12000122010 is 1022100021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12000121983 and 12000122001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5358471 + ... + 5360709.

It is an arithmetic number, because the mean of its divisors is an integer number (179262720).

Almost surely, 2^12000122010 is an apocalyptic number.

12000122010 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 12000122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17209221120).

12000122010 is an abundant number, since it is smaller than the sum of its proper divisors (22418320230).

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

12000122010 is a wasteful number, since it uses less digits than its factorization.

12000122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12000122010 its reverse (1022100021), we get a palindrome (13022222031).

The spelling of 12000122010 in words is "twelve billion, one hundred twenty-two thousand, ten".