1201111221120 has 128 divisors (see below), whose sum is σ = 3832768679040. Its totient is φ = 319942723584.

The previous prime is 1201111221119. The next prime is 1201111221127. The reversal of 1201111221120 is 211221111021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1201111221120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201111221127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1396579 + ... + 2086301.

It is an arithmetic number, because the mean of its divisors is an integer number (29943505305).

Almost surely, 2^{1201111221120} is an apocalyptic number.

1201111221120 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 1201111221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916384339520).

1201111221120 is an abundant number, since it is smaller than the sum of its proper divisors (2631657457920).

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

1201111221120 is an equidigital number, since it uses as much as digits as its factorization.

1201111221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690652 (or 690640 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1201111221120 its reverse (211221111021), we get a palindrome (1412332332141).

The spelling of 1201111221120 in words is "one trillion, two hundred one billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty".