122133505 has 8 divisors (see below), whose sum is σ = 157834152. Its totient is φ = 90190848.

The previous prime is 122133449. The next prime is 122133509. The reversal of 122133505 is 505331221.

It can be written as a sum of positive squares in 4 ways, for example, as 2362369 + 119771136 = 1537^2 + 10944^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122133505 - 2¹³ = 122125313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122133509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 939424 + ... + 939553.

It is an arithmetic number, because the mean of its divisors is an integer number (19729269).

Almost surely, 2^122133505 is an apocalyptic number.

It is an amenable number.

122133505 is a deficient number, since it is larger than the sum of its proper divisors (35700647).

122133505 is a wasteful number, since it uses less digits than its factorization.

122133505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878995.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 122133505 is about 11051.4028521270. The cubic root of 122133505 is about 496.1484134111.

Adding to 122133505 its reverse (505331221), we get a palindrome (627464726).

The spelling of 122133505 in words is "one hundred twenty-two million, one hundred thirty-three thousand, five hundred five".