122682496 has 64 divisors (see below), whose sum is σ = 253998360. Its totient is φ = 58982400.

The previous prime is 122682479. The next prime is 122682503. The reversal of 122682496 is 694286221.

It can be written as a sum of positive squares in 4 ways, for example, as 87160896 + 35521600 = 9336^2 + 5960^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508936 + ... + 509176.

Almost surely, 2^122682496 is an apocalyptic number.

122682496 is a gapful number since it is divisible by the number (16) 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 122682496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126999180).

122682496 is an abundant number, since it is smaller than the sum of its proper divisors (131315864).

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

122682496 is an equidigital number, since it uses as much as digits as its factorization.

122682496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 122682496 is about 11076.2130712622. The cubic root of 122682496 is about 496.8906992442.

The spelling of 122682496 in words is "one hundred twenty-two million, six hundred eighty-two thousand, four hundred ninety-six".