122106936200 has 36 divisors (see below), whose sum is σ = 283910116815. Its totient is φ = 48840797760.

The previous prime is 122106936187. The next prime is 122106936223. The reversal of 122106936200 is 2639601221.

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.

It can be written as a sum of positive squares in 5 ways, for example, as 65471503876 + 56635432324 = 255874^2 + 237982^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247090.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4929446 + ... + 4954154.

Almost surely, 2^122106936200 is an apocalyptic number.

122106936200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122106936200 is an abundant number, since it is smaller than the sum of its proper divisors (161803180615).

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

122106936200 is an frugal number, since it uses more digits than its factorization.

122106936200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49434 (or 24716 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

Multiplying 122106936200 by its sum of digits (32), we get a square (3907421958400 = 1976720²).

The spelling of 122106936200 in words is "one hundred twenty-two billion, one hundred six million, nine hundred thirty-six thousand, two hundred".