122087169800 has 108 divisors (see below), whose sum is σ = 293673052215. Its totient is φ = 47200252800.

The previous prime is 122087169749. The next prime is 122087169821. The reversal of 122087169800 is 8961780221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 42191624836 + 79895544964 = 205406^2 + 282658^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247070.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 153183002 + ... + 153183798.

Almost surely, 2^122087169800 is an apocalyptic number.

122087169800 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 122087169800

122087169800 is an abundant number, since it is smaller than the sum of its proper divisors (171585882415).

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

122087169800 is an frugal number, since it uses more digits than its factorization.

122087169800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 44.

The spelling of 122087169800 in words is "one hundred twenty-two billion, eighty-seven million, one hundred sixty-nine thousand, eight hundred".