120162006767000 has 128 divisors (see below), whose sum is σ = 306930340454400. Its totient is φ = 43668279664000.

The previous prime is 120162006766979. The next prime is 120162006767003. The reversal of 120162006767000 is 767600261021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120162006767003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14435369 + ... + 21182631.

It is an arithmetic number, because the mean of its divisors is an integer number (2397893284800).

Almost surely, 2^{120162006767000} is an apocalyptic number.

120162006767000 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 120162006767000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153465170227200).

120162006767000 is an abundant number, since it is smaller than the sum of its proper divisors (186768333687400).

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

120162006767000 is a wasteful number, since it uses less digits than its factorization.

120162006767000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6748914 (or 6748900 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 120162006767000 in words is "one hundred twenty trillion, one hundred sixty-two billion, six million, seven hundred sixty-seven thousand".