120122203331400 has 192 divisors, whose sum is σ = 376250047979520. Its totient is φ = 31700002924800.

The previous prime is 120122203331287. The next prime is 120122203331419. The reversal of 120122203331400 is 4133302221021.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 90247119 + ... + 91568481.

It is an arithmetic number, because the mean of its divisors is an integer number (1959635666560).

Almost surely, 2^{120122203331400} is an apocalyptic number.

120122203331400 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 120122203331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188125023989760).

120122203331400 is an abundant number, since it is smaller than the sum of its proper divisors (256127844648120).

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

120122203331400 is a wasteful number, since it uses less digits than its factorization.

120122203331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322956 (or 1322947 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 120122203331400 its reverse (4133302221021), we get a palindrome (124255505552421).

The spelling of 120122203331400 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred three million, three hundred thirty-one thousand, four hundred".