221262385920 has 288 divisors, whose sum is σ = 734160322560. Its totient is φ = 56731484160.

The previous prime is 221262385907. The next prime is 221262385921. The reversal of 221262385920 is 29583262122.

It is a happy number.

It is a super-2 number, since 2×221262385920² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221262385921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18683361 + ... + 18695199.

Almost surely, 2^221262385920 is an apocalyptic number.

221262385920 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 221262385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367080161280).

221262385920 is an abundant number, since it is smaller than the sum of its proper divisors (512897936640).

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

221262385920 is a wasteful number, since it uses less digits than its factorization.

221262385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12051 (or 12037 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 221262385920 in words is "two hundred twenty-one billion, two hundred sixty-two million, three hundred eighty-five thousand, nine hundred twenty".