122121221111200 has 36 divisors (see below), whose sum is σ = 298128431039670. Its totient is φ = 48848488444160.

The previous prime is 122121221111143. The next prime is 122121221111207. The reversal of 122121221111200 is 2111122121221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 89035302965904 + 33085918145296 = 9435852^2 + 5752036^2 .

It is not an unprimeable number, because it can be changed into a prime (122121221111207) 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 5 ways as a sum of consecutive naturals, for example, 76325762395 + ... + 76325763994.

Almost surely, 2^{122121221111200} is an apocalyptic number.

122121221111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121221111200 is an abundant number, since it is smaller than the sum of its proper divisors (176007209928470).

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

122121221111200 is a wasteful number, since it uses less digits than its factorization.

122121221111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152651526409 (or 152651526396 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122121221111200 its reverse (2111122121221), we get a palindrome (124232343232421).

The spelling of 122121221111200 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred eleven thousand, two hundred".