122221612872 has 36 divisors (see below), whose sum is σ = 331024902585. Its totient is φ = 40739548800.

The previous prime is 122221612871. The next prime is 122221612883. The reversal of 122221612872 is 278216122221.

It is a happy number.

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.

122221612872 is a `hidden beast` number, since 12 + 2 + 2 + 21 + 612 + 8 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104669072676 + 17552540196 = 323526^2 + 132486^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247206.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122221612871) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2945872 + ... + 2987072.

Almost surely, 2^122221612872 is an apocalyptic number.

122221612872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122221612872 is an abundant number, since it is smaller than the sum of its proper divisors (208803289713).

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

122221612872 is an frugal number, since it uses more digits than its factorization.

122221612872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82414 (or 41206 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The spelling of 122221612872 in words is "one hundred twenty-two billion, two hundred twenty-one million, six hundred twelve thousand, eight hundred seventy-two".