1200901120 has 88 divisors (see below), whose sum is σ = 2918203200. Its totient is φ = 474120192.

The previous prime is 1200901103. The next prime is 1200901123. The reversal of 1200901120 is 211090021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1200901094 and 1200901103.

It is not an unprimeable number, because it can be changed into a prime (1200901123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402996 + ... + 405964.

It is an arithmetic number, because the mean of its divisors is an integer number (33161400).

Almost surely, 2^1200901120 is an apocalyptic number.

1200901120 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 1200901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459101600).

1200901120 is an abundant number, since it is smaller than the sum of its proper divisors (1717302080).

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

1200901120 is an equidigital number, since it uses as much as digits as its factorization.

1200901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 1200901120 is about 34654.0202573958. The cubic root of 1200901120 is about 1062.9244978760.

Adding to 1200901120 its reverse (211090021), we get a palindrome (1411991141).

It can be divided in two parts, 1200901 and 120, that added together give a palindrome (1201021).

The spelling of 1200901120 in words is "one billion, two hundred million, nine hundred one thousand, one hundred twenty".