122750208 has 288 divisors, whose sum is σ = 431692800. Its totient is φ = 33675264.

The previous prime is 122750207. The next prime is 122750213. The reversal of 122750208 is 802057221.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×122750208² = 30135227128086528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122750207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2080483 + ... + 2080541.

Almost surely, 2^122750208 is an apocalyptic number.

122750208 is a gapful number since it is divisible by the number (18) 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 122750208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215846400).

122750208 is an abundant number, since it is smaller than the sum of its proper divisors (308942592).

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

122750208 is an equidigital number, since it uses as much as digits as its factorization.

122750208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 122750208 is about 11079.2692899848. The cubic root of 122750208 is about 496.9820985230.

The spelling of 122750208 in words is "one hundred twenty-two million, seven hundred fifty thousand, two hundred eight".