2121254231040 has 1760 divisors, whose sum is σ = 9097254211584. Its totient is φ = 464380231680.

The previous prime is 2121254230969. The next prime is 2121254231059. The reversal of 2121254231040 is 401324521212.

2121254231040 is a `hidden beast` number, since 2 + 1 + 2 + 12 + 542 + 3 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2121254230995 and 2121254231013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21868600272 + ... + 21868600368.

Almost surely, 2^{2121254231040} is an apocalyptic number.

2121254231040 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 2121254231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548627105792).

2121254231040 is an abundant number, since it is smaller than the sum of its proper divisors (6975999980544).

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

2121254231040 is an frugal number, since it uses more digits than its factorization.

2121254231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2121254231040 its reverse (401324521212), we get a palindrome (2522578752252).

The spelling of 2121254231040 in words is "two trillion, one hundred twenty-one billion, two hundred fifty-four million, two hundred thirty-one thousand, forty".