121003123210000 has 200 divisors, whose sum is σ = 304993204152120. Its totient is φ = 46434565632000.

The previous prime is 121003123209961. The next prime is 121003123210019. The reversal of 121003123210000 is 12321300121.

It can be written as a sum of positive squares in 20 ways, for example, as 120988384278784 + 14738931216 = 10999472^2 + 121404^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44201172 + ... + 46858828.

Almost surely, 2^{121003123210000} is an apocalyptic number.

121003123210000 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 121003123210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152496602076060).

121003123210000 is an abundant number, since it is smaller than the sum of its proper divisors (183990080942120).

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

121003123210000 is a wasteful number, since it uses less digits than its factorization.

121003123210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657871 (or 2657850 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121003123210000 its reverse (12321300121), we get a palindrome (121015444510121).

The spelling of 121003123210000 in words is "one hundred twenty-one trillion, three billion, one hundred twenty-three million, two hundred ten thousand".