122432006115100 has 576 divisors, whose sum is σ = 306972312514560. Its totient is φ = 41979202560000.

The previous prime is 122432006115061. The next prime is 122432006115103. The reversal of 122432006115100 is 1511600234221.

It is a super-2 number, since 2×122432006115100² (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 (122432006115103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 177180905755 + ... + 177180906445.

It is an arithmetic number, because the mean of its divisors is an integer number (532938042560).

Almost surely, 2^{122432006115100} is an apocalyptic number.

122432006115100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122432006115100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153486156257280).

122432006115100 is an abundant number, since it is smaller than the sum of its proper divisors (184540306399460).

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

122432006115100 is a wasteful number, since it uses less digits than its factorization.

122432006115100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 122432006115100 its reverse (1511600234221), we get a palindrome (123943606349321).

The spelling of 122432006115100 in words is "one hundred twenty-two trillion, four hundred thirty-two billion, six million, one hundred fifteen thousand, one hundred".