1201121322000 has 640 divisors, whose sum is σ = 4083818618880. Its totient is φ = 303367680000.

The previous prime is 1201121321941. The next prime is 1201121322001. The reversal of 1201121322000 is 2231211021.

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

It is not an unprimeable number, because it can be changed into a prime (1201121322001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2866637791 + ... + 2866638209.

It is an arithmetic number, because the mean of its divisors is an integer number (6380966592).

Almost surely, 2^{1201121322000} is an apocalyptic number.

1201121322000 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 1201121322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041909309440).

1201121322000 is an abundant number, since it is smaller than the sum of its proper divisors (2882697296880).

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

1201121322000 is a wasteful number, since it uses less digits than its factorization.

1201121322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1201121322000 its reverse (2231211021), we get a palindrome (1203352533021).

The spelling of 1201121322000 in words is "one trillion, two hundred one billion, one hundred twenty-one million, three hundred twenty-two thousand".