21451242981120 has 1152 divisors, whose sum is σ = 76585756262400. Its totient is φ = 5096344780800.

The previous prime is 21451242981071. The next prime is 21451242981131. The reversal of 21451242981120 is 2118924215412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10161648865 + ... + 10161650975.

It is an arithmetic number, because the mean of its divisors is an integer number (66480691200).

Almost surely, 2^{21451242981120} is an apocalyptic number.

21451242981120 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 21451242981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38292878131200).

21451242981120 is an abundant number, since it is smaller than the sum of its proper divisors (55134513281280).

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

21451242981120 is a wasteful number, since it uses less digits than its factorization.

21451242981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 21451242981120 in words is "twenty-one trillion, four hundred fifty-one billion, two hundred forty-two million, nine hundred eighty-one thousand, one hundred twenty".