122283330518100 has 288 divisors, whose sum is σ = 386734599401472. Its totient is φ = 29698272000000.

The previous prime is 122283330518039. The next prime is 122283330518177. The reversal of 122283330518100 is 1815033382221.

It is a super-2 number, since 2×122283330518100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2632499875 + ... + 2632546325.

It is an arithmetic number, because the mean of its divisors is an integer number (1342828470144).

Almost surely, 2^{122283330518100} is an apocalyptic number.

122283330518100 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 122283330518100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193367299700736).

122283330518100 is an abundant number, since it is smaller than the sum of its proper divisors (264451268883372).

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

122283330518100 is a wasteful number, since it uses less digits than its factorization.

122283330518100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63167 (or 63160 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 122283330518100 in words is "one hundred twenty-two trillion, two hundred eighty-three billion, three hundred thirty million, five hundred eighteen thousand, one hundred".