201225420000 has 540 divisors, whose sum is σ = 786065159880. Its totient is φ = 48776640000.

The previous prime is 201225419929. The next prime is 201225420007. The reversal of 201225420000 is 24522102.

201225420000 is a `hidden beast` number, since 2 + 0 + 122 + 542 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201225420007) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 21775381 + ... + 21784619.

It is an arithmetic number, because the mean of its divisors is an integer number (1455676222).

Almost surely, 2^201225420000 is an apocalyptic number.

201225420000 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 201225420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393032579940).

201225420000 is an abundant number, since it is smaller than the sum of its proper divisors (584839739880).

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

201225420000 is a wasteful number, since it uses less digits than its factorization.

201225420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9297 (or 9260 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 201225420000 its reverse (24522102), we get a palindrome (201249942102).

The spelling of 201225420000 in words is "two hundred one billion, two hundred twenty-five million, four hundred twenty thousand".