122208768 has 120 divisors (see below), whose sum is σ = 384926256. Its totient is φ = 37017600.

The previous prime is 122208731. The next prime is 122208769. The reversal of 122208768 is 867802221.

It is a happy number.

It is a super-3 number, since 3×122208768³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122208769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49483 + ... + 51893.

Almost surely, 2^122208768 is an apocalyptic number.

122208768 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 122208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192463128).

122208768 is an abundant number, since it is smaller than the sum of its proper divisors (262717488).

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

122208768 is a wasteful number, since it uses less digits than its factorization.

122208768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 122208768 is about 11054.8074610099. The cubic root of 122208768 is about 496.2503072369.

The spelling of 122208768 in words is "one hundred twenty-two million, two hundred eight thousand, seven hundred sixty-eight".