221883962805120 has 1536 divisors, whose sum is σ = 907720377984000. Its totient is φ = 46048020480000.

The previous prime is 221883962805107. The next prime is 221883962805199. The reversal of 221883962805120 is 21508269388122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98571283995 + ... + 98571286245.

It is an arithmetic number, because the mean of its divisors is an integer number (590963787750).

Almost surely, 2^{221883962805120} is an apocalyptic number.

221883962805120 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 221883962805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453860188992000).

221883962805120 is an abundant number, since it is smaller than the sum of its proper divisors (685836415178880).

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

221883962805120 is a wasteful number, since it uses less digits than its factorization.

221883962805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 221883962805120 in words is "two hundred twenty-one trillion, eight hundred eighty-three billion, nine hundred sixty-two million, eight hundred five thousand, one hundred twenty".