1201120114320 has 640 divisors, whose sum is σ = 4803121152000. Its totient is φ = 270214963200.

The previous prime is 1201120114319. The next prime is 1201120114343. The reversal of 1201120114320 is 234110211021.

1201120114320 is a `hidden beast` number, since 1 + 20 + 11 + 201 + 1 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1201120114293 and 1201120114302.

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 127 ways as a sum of consecutive naturals, for example, 428816920 + ... + 428819720.

It is an arithmetic number, because the mean of its divisors is an integer number (7504876800).

Almost surely, 2^{1201120114320} is an apocalyptic number.

1201120114320 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 1201120114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401560576000).

1201120114320 is an abundant number, since it is smaller than the sum of its proper divisors (3602001037680).

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

1201120114320 is a wasteful number, since it uses less digits than its factorization.

1201120114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1201120114320 its reverse (234110211021), we get a palindrome (1435230325341).

The spelling of 1201120114320 in words is "one trillion, two hundred one billion, one hundred twenty million, one hundred fourteen thousand, three hundred twenty".