122120333013 has 8 divisors (see below), whose sum is σ = 186088126528. Its totient is φ = 69783047424.

The previous prime is 122120332981. The next prime is 122120333029. The reversal of 122120333013 is 310333021221.

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

It is not a de Polignac number, because 122120333013 - 2⁵ = 122120332981 is a prime.

It is a super-3 number, since 3×122120333013³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 5815253953 = 122120333013 / (1 + 2 + 2 + 1 + 2 + 0 + 3 + 3 + 3 + 0 + 1 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120333213) 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, 2907626956 + ... + 2907626997.

It is an arithmetic number, because the mean of its divisors is an integer number (23261015816).

Almost surely, 2^122120333013 is an apocalyptic number.

It is an amenable number.

122120333013 is a deficient number, since it is larger than the sum of its proper divisors (63967793515).

122120333013 is an equidigital number, since it uses as much as digits as its factorization.

122120333013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5815253963.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 122120333013 its reverse (310333021221), we get a palindrome (432453354234).

The spelling of 122120333013 in words is "one hundred twenty-two billion, one hundred twenty million, three hundred thirty-three thousand, thirteen".