120221132031 has 48 divisors (see below), whose sum is σ = 233156152320. Its totient is φ = 57648490560.

The previous prime is 120221132029. The next prime is 120221132063. The reversal of 120221132031 is 130231122021.

120221132031 is a `hidden beast` number, since 120 + 221 + 1 + 320 + 3 + 1 = 666.

It is not a de Polignac number, because 120221132031 - 2¹ = 120221132029 is a prime.

It is a super-3 number, since 3×120221132031³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 120221131995 and 120221132013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120221132021) 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, 6663271 + ... + 6681288.

It is an arithmetic number, because the mean of its divisors is an integer number (4857419840).

Almost surely, 2^120221132031 is an apocalyptic number.

120221132031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120221132031 is a deficient number, since it is larger than the sum of its proper divisors (112935020289).

120221132031 is a wasteful number, since it uses less digits than its factorization.

120221132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13344596 (or 13344593 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120221132031 its reverse (130231122021), we get a palindrome (250452254052).

It can be divided in two parts, 120221 and 132031, that added together give a palindrome (252252).

The spelling of 120221132031 in words is "one hundred twenty billion, two hundred twenty-one million, one hundred thirty-two thousand, thirty-one".