122200512 has 168 divisors, whose sum is σ = 389168640. Its totient is φ = 33707520.

The previous prime is 122200511. The next prime is 122200537. The reversal of 122200512 is 215002221.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 122200491 and 122200500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122200511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291439 + ... + 291857.

It is an arithmetic number, because the mean of its divisors is an integer number (2316480).

Almost surely, 2^122200512 is an apocalyptic number.

122200512 is a gapful number since it is divisible by the number (12) 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 122200512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194584320).

122200512 is an abundant number, since it is smaller than the sum of its proper divisors (266968128).

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

122200512 is a wasteful number, since it uses less digits than its factorization.

122200512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 122200512 is about 11054.4340425008. The cubic root of 122200512 is about 496.2391320027.

Adding to 122200512 its reverse (215002221), we get a palindrome (337202733).

The spelling of 122200512 in words is "one hundred twenty-two million, two hundred thousand, five hundred twelve".