201142212400 has 60 divisors (see below), whose sum is σ = 484704436504. Its totient is φ = 80213760000.

The previous prime is 201142212311. The next prime is 201142212413. The reversal of 201142212400 is 4212241102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 627201 + ... + 892000.

Almost surely, 2^201142212400 is an apocalyptic number.

201142212400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201142212400 is an abundant number, since it is smaller than the sum of its proper divisors (283562224104).

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

201142212400 is a wasteful number, since it uses less digits than its factorization.

201142212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519550 (or 1519539 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 201142212400 its reverse (4212241102), we get a palindrome (205354453502).

The spelling of 201142212400 in words is "two hundred one billion, one hundred forty-two million, two hundred twelve thousand, four hundred".