1200242120 has 128 divisors (see below), whose sum is σ = 3513507840. Its totient is φ = 357815040.

The previous prime is 1200242107. The next prime is 1200242123. The reversal of 1200242120 is 212420021.

It is a super-2 number, since 2×1200242120² = 2881162293244188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1200242095 and 1200242104.

It is not an unprimeable number, because it can be changed into a prime (1200242123) 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, 62369 + ... + 79311.

It is an arithmetic number, because the mean of its divisors is an integer number (27449280).

Almost surely, 2^1200242120 is an apocalyptic number.

1200242120 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 1200242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756753920).

1200242120 is an abundant number, since it is smaller than the sum of its proper divisors (2313265720).

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

1200242120 is a wasteful number, since it uses less digits than its factorization.

1200242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16995 (or 16991 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1200242120 is about 34644.5106762962. The cubic root of 1200242120 is about 1062.7300340689.

Adding to 1200242120 its reverse (212420021), we get a palindrome (1412662141).

The spelling of 1200242120 in words is "one billion, two hundred million, two hundred forty-two thousand, one hundred twenty".