1201221112000 has 448 divisors, whose sum is σ = 3739328925696. Its totient is φ = 372067430400.

The previous prime is 1201221111989. The next prime is 1201221112001. The reversal of 1201221112000 is 2111221021.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1201221112001) by changing a digit.

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, 34198447 + ... + 34233553.

It is an arithmetic number, because the mean of its divisors is an integer number (8346716352).

Almost surely, 2^{1201221112000} is an apocalyptic number.

1201221112000 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 1201221112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869664462848).

1201221112000 is an abundant number, since it is smaller than the sum of its proper divisors (2538107813696).

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

1201221112000 is a wasteful number, since it uses less digits than its factorization.

1201221112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35201 (or 35181 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1201221112000 its reverse (2111221021), we get a palindrome (1203332333021).

The spelling of 1201221112000 in words is "one trillion, two hundred one billion, two hundred twenty-one million, one hundred twelve thousand".