122220012112200 has 144 divisors (see below), whose sum is σ = 421548933897780. Its totient is φ = 31711138260480.

The previous prime is 122220012112181. The next prime is 122220012112283. The reversal of 122220012112200 is 2211210022221.

It is a happy number.

122220012112200 is a `hidden beast` number, since 1 + 222 + 200 + 1 + 21 + 1 + 220 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 57501494684676 + 64718517427524 = 7582974^2 + 8044782^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 917501059 + ... + 917634258.

Almost surely, 2^{122220012112200} is an apocalyptic number.

122220012112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220012112200 is an abundant number, since it is smaller than the sum of its proper divisors (299328921785580).

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

122220012112200 is a wasteful number, since it uses less digits than its factorization.

122220012112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835135376 (or 1835135364 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122220012112200 its reverse (2211210022221), we get a palindrome (124431222134421).

The spelling of 122220012112200 in words is "one hundred twenty-two trillion, two hundred twenty billion, twelve million, one hundred twelve thousand, two hundred".