120022032033 has 12 divisors (see below), whose sum is σ = 174122213460. Its totient is φ = 79665277536.

The previous prime is 120022032023. The next prime is 120022032131. The reversal of 120022032033 is 330230220021.

It is a happy number.

120022032033 is a `hidden beast` number, since 120 + 0 + 220 + 320 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45957498129 + 74064533904 = 214377^2 + 272148^2 .

It is not a de Polignac number, because 120022032033 - 2⁵ = 120022032001 is a prime.

It is a super-2 number, since 2×120022032033² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120022031997 and 120022032015.

It is not an unprimeable number, because it can be changed into a prime (120022032023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29115366 + ... + 29119487.

It is an arithmetic number, because the mean of its divisors is an integer number (14510184455).

Almost surely, 2^120022032033 is an apocalyptic number.

It is an amenable number.

120022032033 is a deficient number, since it is larger than the sum of its proper divisors (54100181427).

120022032033 is a wasteful number, since it uses less digits than its factorization.

120022032033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58235088 (or 58235085 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 120022032033 its reverse (330230220021), we get a palindrome (450252252054).

The spelling of 120022032033 in words is "one hundred twenty billion, twenty-two million, thirty-two thousand, thirty-three".