201122134000440 has 32 divisors (see below), whose sum is σ = 603366402001680. Its totient is φ = 53632569066752.

The previous prime is 201122134000379. The next prime is 201122134000441. The reversal of 201122134000440 is 44000431221102.

201122134000440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201122134000440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201122134000440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122134000441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 838008891549 + ... + 838008891788.

Almost surely, 2^{201122134000440} is an apocalyptic number.

201122134000440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122134000440 is an abundant number, since it is smaller than the sum of its proper divisors (402244268001240).

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

201122134000440 is a wasteful number, since it uses less digits than its factorization.

201122134000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676017783351 (or 1676017783347 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 201122134000440 its reverse (44000431221102), we get a palindrome (245122565221542).

The spelling of 201122134000440 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred thirty-four million, four hundred forty", and thus it is an aban number.