120879000 has 384 divisors, whose sum is σ = 473054400. Its totient is φ = 28512000.

The previous prime is 120878941. The next prime is 120879001. The reversal of 120879000 is 978021.

It is a super-2 number, since 2×120879000² = 29223465282000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120879001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3266982 + ... + 3267018.

Almost surely, 2^120879000 is an apocalyptic number.

120879000 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 120879000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236527200).

120879000 is an abundant number, since it is smaller than the sum of its proper divisors (352175400).

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

120879000 is a wasteful number, since it uses less digits than its factorization.

120879000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 120879000 is about 10994.4986243121. The cubic root of 120879000 is about 494.4438197563.

It can be divided in two parts, 1208 and 79000, that added together give a palindrome (80208).

The spelling of 120879000 in words is "one hundred twenty million, eight hundred seventy-nine thousand".