120412240003233 has 48 divisors (see below), whose sum is σ = 175215680430336. Its totient is φ = 79682668565760.

The previous prime is 120412240003217. The next prime is 120412240003249. The reversal of 120412240003233 is 332300042214021.

120412240003233 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 1 + 22 + 400 + 0 + 3 + 233 = 666.

It is an interprime number because it is at equal distance from previous prime (120412240003217) and next prime (120412240003249).

It is not a de Polignac number, because 120412240003233 - 2⁴ = 120412240003217 is a prime.

It is a super-3 number, since 3×120412240003233³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120412240003197 and 120412240003206.

It is not an unprimeable number, because it can be changed into a prime (120412240003333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1958305816 + ... + 1958367302.

It is an arithmetic number, because the mean of its divisors is an integer number (3650326675632).

Almost surely, 2^{120412240003233} is an apocalyptic number.

It is an amenable number.

120412240003233 is a deficient number, since it is larger than the sum of its proper divisors (54803440427103).

120412240003233 is a wasteful number, since it uses less digits than its factorization.

120412240003233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63894 (or 63891 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 120412240003233 its reverse (332300042214021), we get a palindrome (452712282217254).

The spelling of 120412240003233 in words is "one hundred twenty trillion, four hundred twelve billion, two hundred forty million, three thousand, two hundred thirty-three".