2321121132000 has 1152 divisors, whose sum is σ = 9230211035136. Its totient is φ = 547584000000.

The previous prime is 2321121131977. The next prime is 2321121132013. The reversal of 2321121132000 is 2311211232.

2321121132000 is a `hidden beast` number, since 2 + 321 + 1 + 21 + 1 + 320 + 0 + 0 = 666.

It is a super-4 number, since 4×2321121132000⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 5788331800 + ... + 5788332200.

It is an arithmetic number, because the mean of its divisors is an integer number (8012335968).

Almost surely, 2^{2321121132000} is an apocalyptic number.

2321121132000 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 2321121132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615105517568).

2321121132000 is an abundant number, since it is smaller than the sum of its proper divisors (6909089903136).

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

2321121132000 is a wasteful number, since it uses less digits than its factorization.

2321121132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 780 counting only the distinct ones).

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

Adding to 2321121132000 its reverse (2311211232), we get a palindrome (2323432343232).

The spelling of 2321121132000 in words is "two trillion, three hundred twenty-one billion, one hundred twenty-one million, one hundred thirty-two thousand".