2300012121000 has 768 divisors, whose sum is σ = 8228724940800. Its totient is φ = 530401344000.

The previous prime is 2300012120921. The next prime is 2300012121019. The reversal of 2300012121000 is 1212100032.

2300012121000 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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6267062817 + ... + 6267063183.

It is an arithmetic number, because the mean of its divisors is an integer number (10714485600).

Almost surely, 2^{2300012121000} is an apocalyptic number.

2300012121000 is a gapful number since it is divisible by the number (20) 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 2300012121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114362470400).

2300012121000 is an abundant number, since it is smaller than the sum of its proper divisors (5928712819800).

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

2300012121000 is a wasteful number, since it uses less digits than its factorization.

2300012121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2300012121000 its reverse (1212100032), we get a palindrome (2301224221032).

The spelling of 2300012121000 in words is "two trillion, three hundred billion, twelve million, one hundred twenty-one thousand".