120012233131120 has 320 divisors, whose sum is σ = 330870383940096. Its totient is φ = 39987758039040.

The previous prime is 120012233131097. The next prime is 120012233131183. The reversal of 120012233131120 is 21131332210021.

It is a super-2 number, since 2×120012233131120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 120012233131091 and 120012233131100.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 197183112 + ... + 197790808.

Almost surely, 2^{120012233131120} is an apocalyptic number.

120012233131120 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 120012233131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165435191970048).

120012233131120 is an abundant number, since it is smaller than the sum of its proper divisors (210858150808976).

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

120012233131120 is a wasteful number, since it uses less digits than its factorization.

120012233131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608088 (or 608082 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 120012233131120 its reverse (21131332210021), we get a palindrome (141143565341141).

The spelling of 120012233131120 in words is "one hundred twenty trillion, twelve billion, two hundred thirty-three million, one hundred thirty-one thousand, one hundred twenty".