1242210122120 has 128 divisors (see below), whose sum is σ = 3080417299200. Its totient is φ = 447070848000.

The previous prime is 1242210122117. The next prime is 1242210122129. The reversal of 1242210122120 is 212210122421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1242210122092 and 1242210122101.

It is not an unprimeable number, because it can be changed into a prime (1242210122129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 220286261 + ... + 220291899.

It is an arithmetic number, because the mean of its divisors is an integer number (24065760150).

Almost surely, 2^{1242210122120} is an apocalyptic number.

1242210122120 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 1242210122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540208649600).

1242210122120 is an abundant number, since it is smaller than the sum of its proper divisors (1838207177080).

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

1242210122120 is a wasteful number, since it uses less digits than its factorization.

1242210122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10719 (or 10715 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1242210122120 its reverse (212210122421), we get a palindrome (1454420244541).

The spelling of 1242210122120 in words is "one trillion, two hundred forty-two billion, two hundred ten million, one hundred twenty-two thousand, one hundred twenty".