122120021111200 has 432 divisors, whose sum is σ = 373218777016344. Its totient is φ = 38760770764800.

The previous prime is 122120021111161. The next prime is 122120021111203. The reversal of 122120021111200 is 2111120021221.

It can be written as a sum of positive squares in 12 ways, for example, as 3297027955984 + 118822993155216 = 1815772^2 + 10900596^2 .

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

It is not an unprimeable number, because it can be changed into a prime (122120021111203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39148324 + ... + 42152476.

Almost surely, 2^{122120021111200} is an apocalyptic number.

122120021111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122120021111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186609388508172).

122120021111200 is an abundant number, since it is smaller than the sum of its proper divisors (251098755905144).

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

122120021111200 is a wasteful number, since it uses less digits than its factorization.

122120021111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004265 (or 3004245 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122120021111200 its reverse (2111120021221), we get a palindrome (124231141132421).

The spelling of 122120021111200 in words is "one hundred twenty-two trillion, one hundred twenty billion, twenty-one million, one hundred eleven thousand, two hundred".