40122012001201 has 16 divisors (see below), whose sum is σ = 43695348918480. Its totient is φ = 36618279920640.

The previous prime is 40122012001193. The next prime is 40122012001219. The reversal of 40122012001201 is 10210021022104.

40122012001201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 18763278355600 + 21358733645601 = 4331660^2 + 4621551^2 .

It is a cyclic number.

It is not a de Polignac number, because 40122012001201 - 2³ = 40122012001193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40122012001271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32993971 + ... + 34188391.

It is an arithmetic number, because the mean of its divisors is an integer number (2730959307405).

Almost surely, 2^{40122012001201} is an apocalyptic number.

It is an amenable number.

40122012001201 is a deficient number, since it is larger than the sum of its proper divisors (3573336917279).

40122012001201 is a wasteful number, since it uses less digits than its factorization.

40122012001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223556.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 40122012001201 its reverse (10210021022104), we get a palindrome (50332033023305).

The spelling of 40122012001201 in words is "forty trillion, one hundred twenty-two billion, twelve million, one thousand, two hundred one".