122830265600 has 216 divisors, whose sum is σ = 359441160960. Its totient is φ = 40660623360.

The previous prime is 122830265573. The next prime is 122830265609. The reversal of 122830265600 is 6562038221.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122830265609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1251929 + ... + 1346471.

Almost surely, 2^122830265600 is an apocalyptic number.

122830265600 is a gapful number since it is divisible by the number (10) 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 122830265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179720580480).

122830265600 is an abundant number, since it is smaller than the sum of its proper divisors (236610895360).

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

122830265600 is an equidigital number, since it uses as much as digits as its factorization.

122830265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94605 (or 94586 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 122830265600 in words is "one hundred twenty-two billion, eight hundred thirty million, two hundred sixty-five thousand, six hundred".