221201922942 has 216 divisors, whose sum is σ = 658591226280. Its totient is φ = 53035032960.

The previous prime is 221201922919. The next prime is 221201922961. The reversal of 221201922942 is 249229102122.

221201922942 is a `hidden beast` number, since 221 + 201 + 9 + 229 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 221201922897 and 221201922906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1572184 + ... + 1707092.

It is an arithmetic number, because the mean of its divisors is an integer number (3049033455).

Almost surely, 2^221201922942 is an apocalyptic number.

221201922942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221201922942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329295613140).

221201922942 is an abundant number, since it is smaller than the sum of its proper divisors (437389303338).

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

221201922942 is a wasteful number, since it uses less digits than its factorization.

221201922942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134968 (or 134945 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 221201922942 in words is "two hundred twenty-one billion, two hundred one million, nine hundred twenty-two thousand, nine hundred forty-two".