122042142720 has 624 divisors, whose sum is σ = 444366336960. Its totient is φ = 32126533632.

The previous prime is 122042142697. The next prime is 122042142727. The reversal of 122042142720 is 27241240221.

It is a happy number.

122042142720 is a `hidden beast` number, since 12 + 204 + 2 + 1 + 427 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122042142727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681799591 + ... + 681799769.

It is an arithmetic number, because the mean of its divisors is an integer number (712125540).

Almost surely, 2^122042142720 is an apocalyptic number.

122042142720 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 122042142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222183168480).

122042142720 is an abundant number, since it is smaller than the sum of its proper divisors (322324194240).

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

122042142720 is an equidigital number, since it uses as much as digits as its factorization.

122042142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 122042142720 its reverse (27241240221), we get a palindrome (149283382941).

The spelling of 122042142720 in words is "one hundred twenty-two billion, forty-two million, one hundred forty-two thousand, seven hundred twenty".