122142033 has 16 divisors (see below), whose sum is σ = 194871040. Its totient is φ = 75164112.

The previous prime is 122142023. The next prime is 122142037. The reversal of 122142033 is 330241221.

It is not a de Polignac number, because 122142033 - 2⁶ = 122141969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122141997 and 122142015.

It is not an unprimeable number, because it can be changed into a prime (122142037) 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, 173641 + ... + 174342.

It is an arithmetic number, because the mean of its divisors is an integer number (12179440).

Almost surely, 2^122142033 is an apocalyptic number.

122142033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122142033 is a deficient number, since it is larger than the sum of its proper divisors (72729007).

122142033 is a wasteful number, since it uses less digits than its factorization.

122142033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348005 (or 347999 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 122142033 is about 11051.7886787615. The cubic root of 122142033 is about 496.1599610346.

Adding to 122142033 its reverse (330241221), we get a palindrome (452383254).

The spelling of 122142033 in words is "one hundred twenty-two million, one hundred forty-two thousand, thirty-three".