2301121020000 has 1920 divisors, whose sum is σ = 9382434259968. Its totient is φ = 486604800000.

The previous prime is 2301121019993. The next prime is 2301121020001. The reversal of 2301121020000 is 201211032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301121020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9548219880 + ... + 9548220120.

Almost surely, 2^{2301121020000} is an apocalyptic number.

2301121020000 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 2301121020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691217129984).

2301121020000 is an abundant number, since it is smaller than the sum of its proper divisors (7081313239968).

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

2301121020000 is a wasteful number, since it uses less digits than its factorization.

2301121020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 339 counting only the distinct ones).

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

Adding to 2301121020000 its reverse (201211032), we get a palindrome (2301322231032).

The spelling of 2301121020000 in words is "two trillion, three hundred one billion, one hundred twenty-one million, twenty thousand".