122028814656 has 784 divisors, whose sum is σ = 454145172480. Its totient is φ = 31711150080.

The previous prime is 122028814601. The next prime is 122028814711. The reversal of 122028814656 is 656418820221.

122028814656 is a `hidden beast` number, since 1 + 220 + 288 + 146 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (122028814601) and next prime (122028814711).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 172113630 + ... + 172114338.

Almost surely, 2^122028814656 is an apocalyptic number.

122028814656 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 122028814656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227072586240).

122028814656 is an abundant number, since it is smaller than the sum of its proper divisors (332116357824).

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

122028814656 is an equidigital number, since it uses as much as digits as its factorization.

122028814656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 122028814656 in words is "one hundred twenty-two billion, twenty-eight million, eight hundred fourteen thousand, six hundred fifty-six".