120122845979136 has 1920 divisors, whose sum is σ = 449545275260928. Its totient is φ = 27706304102400.

The previous prime is 120122845979113. The next prime is 120122845979137. The reversal of 120122845979136 is 631979548221021.

It is a happy number.

It is a super-2 number, since 2×120122845979136² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120122845979136.

It is not an unprimeable number, because it can be changed into a prime (120122845979137) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103287055291 + ... + 103287056453.

It is a 1-persistent number, because it is pandigital, but 2⋅120122845979136 = 240245691958272 is not.

Almost surely, 2^{120122845979136} is an apocalyptic number.

120122845979136 is a gapful number since it is divisible by the number (16) 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 120122845979136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224772637630464).

120122845979136 is an abundant number, since it is smaller than the sum of its proper divisors (329422429281792).

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

120122845979136 is a wasteful number, since it uses less digits than its factorization.

120122845979136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 120122845979136 in words is "one hundred twenty trillion, one hundred twenty-two billion, eight hundred forty-five million, nine hundred seventy-nine thousand, one hundred thirty-six".