122210010213120 has 576 divisors, whose sum is σ = 442064144954880. Its totient is φ = 31965014016000.

The previous prime is 122210010212921. The next prime is 122210010213121. The reversal of 122210010213120 is 21312010012221.

122210010213120 is a `hidden beast` number, since 1 + 222 + 100 + 10 + 21 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 122210010213093 and 122210010213102.

It is not an unprimeable number, because it can be changed into a prime (122210010213121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373326315 + ... + 373653525.

It is an arithmetic number, because the mean of its divisors is an integer number (767472473880).

Almost surely, 2^{122210010213120} is an apocalyptic number.

122210010213120 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 122210010213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221032072477440).

122210010213120 is an abundant number, since it is smaller than the sum of its proper divisors (319854134741760).

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

122210010213120 is a wasteful number, since it uses less digits than its factorization.

122210010213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327449 (or 327429 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122210010213120 its reverse (21312010012221), we get a palindrome (143522020225341).

The spelling of 122210010213120 in words is "one hundred twenty-two trillion, two hundred ten billion, ten million, two hundred thirteen thousand, one hundred twenty".