122120200000200 has 96 divisors (see below), whose sum is σ = 378805304417760. Its totient is φ = 32545370803200.

The previous prime is 122120200000157. The next prime is 122120200000217. The reversal of 122120200000200 is 2000002021221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 61572561 + ... + 63524960.

It is an arithmetic number, because the mean of its divisors is an integer number (3945888587685).

Almost surely, 2^{122120200000200} is an apocalyptic number.

122120200000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120200000200 is an abundant number, since it is smaller than the sum of its proper divisors (256685104417560).

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

122120200000200 is a wasteful number, since it uses less digits than its factorization.

122120200000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125099167 (or 125099158 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122120200000200 its reverse (2000002021221), we get a palindrome (124120202021421).

The spelling of 122120200000200 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred million, two hundred", and thus it is an aban number.