12121023320010 has 640 divisors, whose sum is σ = 38066996183040. Its totient is φ = 2736361958400.

The previous prime is 12121023319973. The next prime is 12121023320017. The reversal of 12121023320010 is 1002332012121.

12121023320010 is a `hidden beast` number, since 1 + 21 + 210 + 233 + 200 + 1 + 0 = 666.

It is a super-3 number, since 3×12121023320010³ (a number of 40 digits) contains 333 as substring.

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 (12121023320017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4603501654 + ... + 4603504286.

It is an arithmetic number, because the mean of its divisors is an integer number (59479681536).

Almost surely, 2^{12121023320010} is an apocalyptic number.

12121023320010 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 12121023320010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19033498091520).

12121023320010 is an abundant number, since it is smaller than the sum of its proper divisors (25945972863030).

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

12121023320010 is a wasteful number, since it uses less digits than its factorization.

12121023320010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12121023320010 its reverse (1002332012121), we get a palindrome (13123355332131).

The spelling of 12121023320010 in words is "twelve trillion, one hundred twenty-one billion, twenty-three million, three hundred twenty thousand, ten".