122220011201200 has 180 divisors, whose sum is σ = 341739809361720. Its totient is φ = 41829308364800.

The previous prime is 122220011201179. The next prime is 122220011201357. The reversal of 122220011201200 is 2102110022221.

It is a happy number.

122220011201200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122220011201200² (a number of 29 digits) contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 73447990 + ... + 75093589.

It is an arithmetic number, because the mean of its divisors is an integer number (1898554496454).

Almost surely, 2^{122220011201200} is an apocalyptic number.

122220011201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220011201200 is an abundant number, since it is smaller than the sum of its proper divisors (219519798160520).

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

122220011201200 is a wasteful number, since it uses less digits than its factorization.

122220011201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148541636 (or 148541614 counting only the distinct ones).

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

Adding to 122220011201200 its reverse (2102110022221), we get a palindrome (124322121223421).

The spelling of 122220011201200 in words is "one hundred twenty-two trillion, two hundred twenty billion, eleven million, two hundred one thousand, two hundred".