120133221345 has 24 divisors (see below), whose sum is σ = 208258990056. Its totient is φ = 64062413568.

The previous prime is 120133221301. The next prime is 120133221349. The reversal of 120133221345 is 543122331021.

120133221345 is a `hidden beast` number, since 1 + 201 + 3 + 322 + 134 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5368785984 + 114764435361 = 73272^2 + 338769^2 .

It is not a de Polignac number, because 120133221345 - 2¹⁵ = 120133188577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120133221349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164799 + ... + 517131.

It is an arithmetic number, because the mean of its divisors is an integer number (8677457919).

Almost surely, 2^120133221345 is an apocalyptic number.

120133221345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120133221345 is a deficient number, since it is larger than the sum of its proper divisors (88125768711).

120133221345 is a wasteful number, since it uses less digits than its factorization.

120133221345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359921 (or 359918 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 120133221345 its reverse (543122331021), we get a palindrome (663255552366).

The spelling of 120133221345 in words is "one hundred twenty billion, one hundred thirty-three million, two hundred twenty-one thousand, three hundred forty-five".