120011421124032 has 112 divisors (see below), whose sum is σ = 320009884492032. Its totient is φ = 39692224972800.

The previous prime is 120011421123983. The next prime is 120011421124033. The reversal of 120011421124032 is 230421124110021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 120011421123993 and 120011421124011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011421124033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15618613 + ... + 21999179.

It is an arithmetic number, because the mean of its divisors is an integer number (2857231111536).

Almost surely, 2^{120011421124032} is an apocalyptic number.

120011421124032 is a gapful number since it is divisible by the number (12) 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 120011421124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160004942246016).

120011421124032 is an abundant number, since it is smaller than the sum of its proper divisors (199998463368000).

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

120011421124032 is a wasteful number, since it uses less digits than its factorization.

120011421124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6381346 (or 6381336 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 120011421124032 its reverse (230421124110021), we get a palindrome (350432545234053).

The spelling of 120011421124032 in words is "one hundred twenty trillion, eleven billion, four hundred twenty-one million, one hundred twenty-four thousand, thirty-two".