21152430212000 has 384 divisors, whose sum is σ = 53655186993408. Its totient is φ = 8190345216000.

The previous prime is 21152430211973. The next prime is 21152430212003. The reversal of 21152430212000 is 21203425112.

It is not an unprimeable number, because it can be changed into a prime (21152430212003) 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, 17820075407 + ... + 17820076593.

It is an arithmetic number, because the mean of its divisors is an integer number (139727049462).

Almost surely, 2^{21152430212000} is an apocalyptic number.

21152430212000 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 21152430212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26827593496704).

21152430212000 is an abundant number, since it is smaller than the sum of its proper divisors (32502756781408).

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

21152430212000 is a wasteful number, since it uses less digits than its factorization.

21152430212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 21152430212000 its reverse (21203425112), we get a palindrome (21173633637112).

The spelling of 21152430212000 in words is "twenty-one trillion, one hundred fifty-two billion, four hundred thirty million, two hundred twelve thousand".