211220121141200 has 30 divisors (see below), whose sum is σ = 507456341042694. Its totient is φ = 84488048456320.

The previous prime is 211220121141181. The next prime is 211220121141241. The reversal of 211220121141200 is 2141121022112.

It can be written as a sum of positive squares in 3 ways, for example, as 32953937264704 + 178266183876496 = 5740552^2 + 13351636^2 .

It is a super-2 number, since 2×211220121141200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 264025151027 + ... + 264025151826.

Almost surely, 2^{211220121141200} is an apocalyptic number.

211220121141200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220121141200 is an abundant number, since it is smaller than the sum of its proper divisors (296236219901494).

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

211220121141200 is a wasteful number, since it uses less digits than its factorization.

211220121141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528050302871 (or 528050302860 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211220121141200 its reverse (2141121022112), we get a palindrome (213361242163312).

The spelling of 211220121141200 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred twenty-one million, one hundred forty-one thousand, two hundred".