122121133431 has 64 divisors (see below), whose sum is σ = 193641283584. Its totient is φ = 67684636800.

The previous prime is 122121133427. The next prime is 122121133469. The reversal of 122121133431 is 134331121221.

It is not a de Polignac number, because 122121133431 - 2² = 122121133427 is a prime.

It is a super-4 number, since 4×122121133431⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121133481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1921641 + ... + 1984173.

It is an arithmetic number, because the mean of its divisors is an integer number (3025645056).

Almost surely, 2^122121133431 is an apocalyptic number.

122121133431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122121133431 is a deficient number, since it is larger than the sum of its proper divisors (71520150153).

122121133431 is a wasteful number, since it uses less digits than its factorization.

122121133431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62684.

The product of its digits is 864, while the sum is 24.

Adding to 122121133431 its reverse (134331121221), we get a palindrome (256452254652).

It can be divided in two parts, 122121 and 133431, that added together give a palindrome (255552).

The spelling of 122121133431 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred thirty-three thousand, four hundred thirty-one".