120988000 has 192 divisors, whose sum is σ = 353808000. Its totient is φ = 39782400.

The previous prime is 120987983. The next prime is 120988037. The reversal of 120988000 is 889021.

120988000 = T₃₃₈₄ + T₃₃₈₅ + ... + T₃₄₀₄.

120988000 = 281² + 282² + ... + 727².

It is a super-2 number, since 2×120988000² = 29276192288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 120988000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811926 + ... + 812074.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 2^120988000 is an apocalyptic number.

120988000 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 120988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

120988000 is an abundant number, since it is smaller than the sum of its proper divisors (232820000).

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

120988000 is a wasteful number, since it uses less digits than its factorization.

120988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 120988000 is about 10999.4545319302. The cubic root of 120988000 is about 494.5923930820.

The spelling of 120988000 in words is "one hundred twenty million, nine hundred eighty-eight thousand".