1200120120 has 96 divisors (see below), whose sum is σ = 3909906000. Its totient is φ = 319251456.

The previous prime is 1200120113. The next prime is 1200120139. The reversal of 1200120120 is 210210021.

It is a Harshad number since it is a multiple of its sum of digits (9).

1200120120 is a modest number, since divided by 120120 gives 1200 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152031 + ... + 159729.

Almost surely, 2^1200120120 is an apocalyptic number.

1200120120 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 1200120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954953000).

1200120120 is an abundant number, since it is smaller than the sum of its proper divisors (2709785880).

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

1200120120 is a wasteful number, since it uses less digits than its factorization.

1200120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8149 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1200120120 is about 34642.7498908502. The cubic root of 1200120120 is about 1062.6940253738.

Adding to 1200120120 its reverse (210210021), we get a palindrome (1410330141).

The spelling of 1200120120 in words is "one billion, two hundred million, one hundred twenty thousand, one hundred twenty".