120771000 has 384 divisors, whose sum is σ = 490613760. Its totient is φ = 27216000.

The previous prime is 120770989. The next prime is 120771017. The reversal of 120771000 is 177021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1700965 + ... + 1701035.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^120771000 is an apocalyptic number.

120771000 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 120771000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245306880).

120771000 is an abundant number, since it is smaller than the sum of its proper divisors (369842760).

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

120771000 is an equidigital number, since it uses as much as digits as its factorization.

120771000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 120771000 is about 10989.5859794626. The cubic root of 120771000 is about 494.2965213728.

The spelling of 120771000 in words is "one hundred twenty million, seven hundred seventy-one thousand".