221905797120 has 1440 divisors, whose sum is σ = 968351354880. Its totient is φ = 45864714240.

The previous prime is 221905796969. The next prime is 221905797121. The reversal of 221905797120 is 21797509122.

221905797120 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 0 + 579 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221905797121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3039805404 + ... + 3039805476.

Almost surely, 2^221905797120 is an apocalyptic number.

221905797120 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 221905797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484175677440).

221905797120 is an abundant number, since it is smaller than the sum of its proper divisors (746445557760).

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

221905797120 is a wasteful number, since it uses less digits than its factorization.

221905797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 221905797120 in words is "two hundred twenty-one billion, nine hundred five million, seven hundred ninety-seven thousand, one hundred twenty".