122110222010000 has 400 divisors, whose sum is σ = 363225802536960. Its totient is φ = 38818958400000.

The previous prime is 122110222009961. The next prime is 122110222010033. The reversal of 122110222010000 is 10222011221.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (14).

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 79 ways as a sum of consecutive naturals, for example, 61533275 + ... + 63486725.

Almost surely, 2^{122110222010000} is an apocalyptic number.

122110222010000 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 122110222010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181612901268480).

122110222010000 is an abundant number, since it is smaller than the sum of its proper divisors (241115580526960).

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

122110222010000 is a wasteful number, since it uses less digits than its factorization.

122110222010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953552 (or 1953531 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122110222010000 its reverse (10222011221), we get a palindrome (122120444021221).

The spelling of 122110222010000 in words is "one hundred twenty-two trillion, one hundred ten billion, two hundred twenty-two million, ten thousand".