2121142032000 has 512 divisors, whose sum is σ = 7824885120000. Its totient is φ = 564768460800.

The previous prime is 2121142031993. The next prime is 2121142032001. The reversal of 2121142032000 is 2302411212.

It is a happy number.

2121142032000 is a `hidden beast` number, since 2 + 1 + 211 + 420 + 32 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2121142032001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310604586 + ... + 310611414.

It is an arithmetic number, because the mean of its divisors is an integer number (15282978750).

Almost surely, 2^{2121142032000} is an apocalyptic number.

2121142032000 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 2121142032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912442560000).

2121142032000 is an abundant number, since it is smaller than the sum of its proper divisors (5703743088000).

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

2121142032000 is an equidigital number, since it uses as much as digits as its factorization.

2121142032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7586 (or 7558 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2121142032000 its reverse (2302411212), we get a palindrome (2123444443212).

The spelling of 2121142032000 in words is "two trillion, one hundred twenty-one billion, one hundred forty-two million, thirty-two thousand".