122795481600 has 1440 divisors, whose sum is σ = 515857358016. Its totient is φ = 28665446400.

The previous prime is 122795481593. The next prime is 122795481617. The reversal of 122795481600 is 6184597221.

122795481600 is a `hidden beast` number, since 1 + 2 + 27 + 95 + 481 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1265932752 + ... + 1265932848.

Almost surely, 2^122795481600 is an apocalyptic number.

122795481600 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 122795481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257928679008).

122795481600 is an abundant number, since it is smaller than the sum of its proper divisors (393061876416).

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

122795481600 is an equidigital number, since it uses as much as digits as its factorization.

122795481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 122795481600 in words is "one hundred twenty-two billion, seven hundred ninety-five million, four hundred eighty-one thousand, six hundred".