1201221120 has 320 divisors, whose sum is σ = 4277940480. Its totient is φ = 285081600.

The previous prime is 1201221107. The next prime is 1201221127. The reversal of 1201221120 is 211221021.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1201221096 and 1201221105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201221127) 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, 4984200 + ... + 4984440.

It is an arithmetic number, because the mean of its divisors is an integer number (13368564).

Almost surely, 2^1201221120 is an apocalyptic number.

1201221120 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 1201221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138970240).

1201221120 is an abundant number, since it is smaller than the sum of its proper divisors (3076719360).

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

1201221120 is a wasteful number, since it uses less digits than its factorization.

1201221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1201221120 is about 34658.6370187865. The cubic root of 1201221120 is about 1063.0189007724.

Adding to 1201221120 its reverse (211221021), we get a palindrome (1412442141).

Subtracting from 1201221120 its reverse (211221021), we obtain a palindrome (990000099).

The spelling of 1201221120 in words is "one billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".