2120201232000 has 512 divisors, whose sum is σ = 7234104384000. Its totient is φ = 548912332800.

The previous prime is 2120201231933. The next prime is 2120201232001. The reversal of 2120201232000 is 2321020212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2120201232001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1063823004 + ... + 1063824996.

It is an arithmetic number, because the mean of its divisors is an integer number (14129110125).

Almost surely, 2^{2120201232000} is an apocalyptic number.

2120201232000 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 2120201232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617052192000).

2120201232000 is an abundant number, since it is smaller than the sum of its proper divisors (5113903152000).

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

2120201232000 is a wasteful number, since it uses less digits than its factorization.

2120201232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2120201232000 its reverse (2321020212), we get a palindrome (2122522252212).

The spelling of 2120201232000 in words is "two trillion, one hundred twenty billion, two hundred one million, two hundred thirty-two thousand".