211201142020000 has 240 divisors, whose sum is σ = 596654353864800. Its totient is φ = 72758286720000.

The previous prime is 211201142019937. The next prime is 211201142020003. The reversal of 211201142020000 is 20241102112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (211201142020003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21083295 + ... + 29443294.

It is an arithmetic number, because the mean of its divisors is an integer number (2486059807770).

Almost surely, 2^{211201142020000} is an apocalyptic number.

211201142020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201142020000 is an abundant number, since it is smaller than the sum of its proper divisors (385453211844800).

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

211201142020000 is a wasteful number, since it uses less digits than its factorization.

211201142020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50526649 (or 50526626 counting only the distinct ones).

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

Adding to 211201142020000 its reverse (20241102112), we get a palindrome (211221383122112).

The spelling of 211201142020000 in words is "two hundred eleven trillion, two hundred one billion, one hundred forty-two million, twenty thousand".