122120121022200 has 432 divisors, whose sum is σ = 477164706993000. Its totient is φ = 27908123927040.

The previous prime is 122120121022183. The next prime is 122120121022201. The reversal of 122120121022200 is 2220121021221.

It is a happy number.

122120121022200 is a `hidden beast` number, since 1 + 221 + 201 + 21 + 0 + 2 + 220 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120121022201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 499001466 + ... + 499246134.

Almost surely, 2^{122120121022200} is an apocalyptic number.

122120121022200 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 122120121022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238582353496500).

122120121022200 is an abundant number, since it is smaller than the sum of its proper divisors (355044585970800).

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

122120121022200 is a wasteful number, since it uses less digits than its factorization.

122120121022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250364 (or 250345 counting only the distinct ones).

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

Adding to 122120121022200 its reverse (2220121021221), we get a palindrome (124340242043421).

The spelling of 122120121022200 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred twenty-one million, twenty-two thousand, two hundred".