120113211040000 has 180 divisors, whose sum is σ = 302509419948736. Its totient is φ = 47578818816000.

The previous prime is 120113211039883. The next prime is 120113211040013. The reversal of 120113211040000 is 40112311021.

It is a super-3 number, since 3×120113211040000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 19 ways as a sum of consecutive naturals, for example, 12835789 + ... + 20124211.

Almost surely, 2^{120113211040000} is an apocalyptic number.

120113211040000 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 120113211040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151254709974368).

120113211040000 is an abundant number, since it is smaller than the sum of its proper divisors (182396208908736).

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

120113211040000 is an frugal number, since it uses more digits than its factorization.

120113211040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7288562 (or 7288533 counting only the distinct ones).

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

Adding to 120113211040000 its reverse (40112311021), we get a palindrome (120153323351021).

The spelling of 120113211040000 in words is "one hundred twenty trillion, one hundred thirteen billion, two hundred eleven million, forty thousand".