21248017120 has 192 divisors, whose sum is σ = 59400879552. Its totient is φ = 7094272000.

The previous prime is 21248016971. The next prime is 21248017123. The reversal of 21248017120 is 2171084212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21248017123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1218060 + ... + 1235380.

It is an arithmetic number, because the mean of its divisors is an integer number (309379581).

Almost surely, 2^21248017120 is an apocalyptic number.

21248017120 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 21248017120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29700439776).

21248017120 is an abundant number, since it is smaller than the sum of its proper divisors (38152862432).

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

21248017120 is a wasteful number, since it uses less digits than its factorization.

21248017120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17405 (or 17397 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The spelling of 21248017120 in words is "twenty-one billion, two hundred forty-eight million, seventeen thousand, one hundred twenty".