120667813150560 has 1536 divisors, whose sum is σ = 459227438530560. Its totient is φ = 26343547895808.

The previous prime is 120667813150523. The next prime is 120667813150571. The reversal of 120667813150560 is 65051318766021.

It is a super-2 number, since 2×120667813150560² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 81367371579 + ... + 81367373061.

It is an arithmetic number, because the mean of its divisors is an integer number (298976196960).

Almost surely, 2^{120667813150560} is an apocalyptic number.

120667813150560 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 120667813150560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229613719265280).

120667813150560 is an abundant number, since it is smaller than the sum of its proper divisors (338559625380000).

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

120667813150560 is a wasteful number, since it uses less digits than its factorization.

120667813150560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 120667813150560 in words is "one hundred twenty trillion, six hundred sixty-seven billion, eight hundred thirteen million, one hundred fifty thousand, five hundred sixty".