120033331413440 has 112 divisors (see below), whose sum is σ = 286403813068800. Its totient is φ = 47916925056000.

The previous prime is 120033331413433. The next prime is 120033331413449. The reversal of 120033331413440 is 44314133330021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 120033331413397 and 120033331413406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120033331413449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356226161 + ... + 356562959.

It is an arithmetic number, because the mean of its divisors is an integer number (2557176902400).

Almost surely, 2^{120033331413440} is an apocalyptic number.

120033331413440 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 120033331413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143201906534400).

120033331413440 is an abundant number, since it is smaller than the sum of its proper divisors (166370481655360).

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

120033331413440 is a wasteful number, since it uses less digits than its factorization.

120033331413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339050 (or 339040 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 120033331413440 its reverse (44314133330021), we get a palindrome (164347464743461).

The spelling of 120033331413440 in words is "one hundred twenty trillion, thirty-three billion, three hundred thirty-one million, four hundred thirteen thousand, four hundred forty".