122200010221120 has 448 divisors, whose sum is σ = 335234681945856. Its totient is φ = 42029277511680.

The previous prime is 122200010221109. The next prime is 122200010221139. The reversal of 122200010221120 is 21122010002221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122200010221094 and 122200010221103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2778071767 + ... + 2778115753.

It is an arithmetic number, because the mean of its divisors is an integer number (748291700772).

Almost surely, 2^{122200010221120} is an apocalyptic number.

122200010221120 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 122200010221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167617340972928).

122200010221120 is an abundant number, since it is smaller than the sum of its proper divisors (213034671724736).

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

122200010221120 is a wasteful number, since it uses less digits than its factorization.

122200010221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44438 (or 44428 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122200010221120 its reverse (21122010002221), we get a palindrome (143322020223341).

The spelling of 122200010221120 in words is "one hundred twenty-two trillion, two hundred billion, ten million, two hundred twenty-one thousand, one hundred twenty".