122210101200000 has 384 divisors, whose sum is σ = 442636146348480. Its totient is φ = 29626688000000.

The previous prime is 122210101199957. The next prime is 122210101200017. The reversal of 122210101200000 is 2101012221.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8570830 + ... + 17829170.

Almost surely, 2^{122210101200000} is an apocalyptic number.

122210101200000 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 122210101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221318073174240).

122210101200000 is an abundant number, since it is smaller than the sum of its proper divisors (320426045148480).

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

122210101200000 is an frugal number, since it uses more digits than its factorization.

122210101200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9258394 (or 9258362 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122210101200000 its reverse (2101012221), we get a palindrome (122212202212221).

The spelling of 122210101200000 in words is "one hundred twenty-two trillion, two hundred ten billion, one hundred one million, two hundred thousand".