120202079170944 has 128 divisors (see below), whose sum is σ = 319953104892000. Its totient is φ = 39983825960960.

The previous prime is 120202079170913. The next prime is 120202079170949. The reversal of 120202079170944 is 449071970202021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×120202079170944² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 120202079170893 and 120202079170902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120202079170949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366720922 + ... + 367048550.

Almost surely, 2^{120202079170944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120202079170944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159976552446000).

120202079170944 is an abundant number, since it is smaller than the sum of its proper divisors (199751025721056).

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

120202079170944 is a wasteful number, since it uses less digits than its factorization.

120202079170944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329636 (or 329624 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 120202079170944 in words is "one hundred twenty trillion, two hundred two billion, seventy-nine million, one hundred seventy thousand, nine hundred forty-four".