1201301221120 has 576 divisors, whose sum is σ = 3878307707904. Its totient is φ = 344303861760.

The previous prime is 1201301221111. The next prime is 1201301221157. The reversal of 1201301221120 is 211221031021.

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 = 1201301221094 and 1201301221103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362600584 + ... + 362603896.

It is an arithmetic number, because the mean of its divisors is an integer number (6733173104).

Almost surely, 2^{1201301221120} is an apocalyptic number.

1201301221120 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 1201301221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939153853952).

1201301221120 is an abundant number, since it is smaller than the sum of its proper divisors (2677006486784).

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

1201301221120 is a wasteful number, since it uses less digits than its factorization.

1201301221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1201301221120 its reverse (211221031021), we get a palindrome (1412522252141).

The spelling of 1201301221120 in words is "one trillion, two hundred one billion, three hundred one million, two hundred twenty-one thousand, one hundred twenty".