201227120640 has 2080 divisors, whose sum is σ = 937765441536. Its totient is φ = 40131624960.

The previous prime is 201227120603. The next prime is 201227120693. The reversal of 201227120640 is 46021722102.

201227120640 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 2 + 7 + 12 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a super-2 number, since 2×201227120640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4679700459 + ... + 4679700501.

Almost surely, 2^201227120640 is an apocalyptic number.

201227120640 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 201227120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468882720768).

201227120640 is an abundant number, since it is smaller than the sum of its proper divisors (736538320896).

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

201227120640 is a wasteful number, since it uses less digits than its factorization.

201227120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 201227120640 its reverse (46021722102), we get a palindrome (247248842742).

The spelling of 201227120640 in words is "two hundred one billion, two hundred twenty-seven million, one hundred twenty thousand, six hundred forty".