122122313322300 has 54 divisors (see below), whose sum is σ = 382785606538608. Its totient is φ = 32565950219040.

The previous prime is 122122313322277. The next prime is 122122313322307. The reversal of 122122313322300 is 3223313221221.

122122313322300 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 2 + 2 + 31 + 3 + 322 + 300 = 666.

It is a super-2 number, since 2×122122313322300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122122313322307) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67845728724 + ... + 67845730523.

Almost surely, 2^{122122313322300} is an apocalyptic number.

122122313322300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122313322300 is an abundant number, since it is smaller than the sum of its proper divisors (260663293216308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122122313322300 is a wasteful number, since it uses less digits than its factorization.

122122313322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135691459267 (or 135691459257 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 122122313322300 its reverse (3223313221221), we get a palindrome (125345626543521).

The spelling of 122122313322300 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, three hundred thirteen million, three hundred twenty-two thousand, three hundred".