122010000217600 has 480 divisors, whose sum is σ = 333007384913280. Its totient is φ = 43932499968000.

The previous prime is 122010000217591. The next prime is 122010000217621. The reversal of 122010000217600 is 6712000010221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20031190555 + ... + 20031196645.

It is an arithmetic number, because the mean of its divisors is an integer number (693765385236).

Almost surely, 2^{122010000217600} is an apocalyptic number.

122010000217600 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 122010000217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166503692456640).

122010000217600 is an abundant number, since it is smaller than the sum of its proper divisors (210997384695680).

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

122010000217600 is a wasteful number, since it uses less digits than its factorization.

122010000217600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7502 (or 7481 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 122010000217600 its reverse (6712000010221), we get a palindrome (128722000227821).

The spelling of 122010000217600 in words is "one hundred twenty-two trillion, ten billion, two hundred seventeen thousand, six hundred".