2121130628232 has 288 divisors, whose sum is σ = 7179208212960. Its totient is φ = 518534016000.

The previous prime is 2121130628167. The next prime is 2121130628237. The reversal of 2121130628232 is 2328260311212.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2121130628193 and 2121130628202.

It is not an unprimeable number, because it can be changed into a prime (2121130628237) 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 71 ways as a sum of consecutive naturals, for example, 1980607 + ... + 2857457.

It is an arithmetic number, because the mean of its divisors is an integer number (24927806295).

Almost surely, 2^{2121130628232} is an apocalyptic number.

2121130628232 is a gapful number since it is divisible by the number (22) 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 2121130628232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589604106480).

2121130628232 is an abundant number, since it is smaller than the sum of its proper divisors (5058077584728).

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

2121130628232 is a wasteful number, since it uses less digits than its factorization.

2121130628232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876913 (or 876891 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 2121130628232 its reverse (2328260311212), we get a palindrome (4449390939444).

The spelling of 2121130628232 in words is "two trillion, one hundred twenty-one billion, one hundred thirty million, six hundred twenty-eight thousand, two hundred thirty-two".