1201000120320 has 1024 divisors, whose sum is σ = 5162136376320. Its totient is φ = 230267289600.

The previous prime is 1201000120289. The next prime is 1201000120321. The reversal of 1201000120320 is 230210001021.

It is a tau number, because it is divible by the number of its divisors (1024).

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 = 1201000120296 and 1201000120305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201000120321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 492010300 + ... + 492012740.

It is an arithmetic number, because the mean of its divisors is an integer number (5041148805).

Almost surely, 2^{1201000120320} is an apocalyptic number.

1201000120320 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 1201000120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581068188160).

1201000120320 is an abundant number, since it is smaller than the sum of its proper divisors (3961136256000).

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

1201000120320 is a wasteful number, since it uses less digits than its factorization.

1201000120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1201000120320 its reverse (230210001021), we get a palindrome (1431210121341).

The spelling of 1201000120320 in words is "one trillion, two hundred one billion, one hundred twenty thousand, three hundred twenty".