122220012111200 has 144 divisors (see below), whose sum is σ = 308389201827840. Its totient is φ = 47271353387520.

The previous prime is 122220012111089. The next prime is 122220012111271. The reversal of 122220012111200 is 2111210022221.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 16460720 + ... + 22702319.

It is an arithmetic number, because the mean of its divisors is an integer number (2141591679360).

Almost surely, 2^{122220012111200} is an apocalyptic number.

122220012111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220012111200 is an abundant number, since it is smaller than the sum of its proper divisors (186169189716640).

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

122220012111200 is a wasteful number, since it uses less digits than its factorization.

122220012111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39163189 (or 39163176 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122220012111200 its reverse (2111210022221), we get a palindrome (124331222133421).

The spelling of 122220012111200 in words is "one hundred twenty-two trillion, two hundred twenty billion, twelve million, one hundred eleven thousand, two hundred".