122210201120000 has 1440 divisors, whose sum is σ = 378114521621760. Its totient is φ = 38459473920000.

The previous prime is 122210201119931. The next prime is 122210201120057. The reversal of 122210201120000 is 21102012221.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 161440159622 + ... + 161440160378.

It is an arithmetic number, because the mean of its divisors is an integer number (262579528904).

Almost surely, 2^{122210201120000} is an apocalyptic number.

122210201120000 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 122210201120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189057260810880).

122210201120000 is an abundant number, since it is smaller than the sum of its proper divisors (255904320501760).

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

122210201120000 is an equidigital number, since it uses as much as digits as its factorization.

122210201120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 988 counting only the distinct ones).

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

Adding to 122210201120000 its reverse (21102012221), we get a palindrome (122231303132221).

The spelling of 122210201120000 in words is "one hundred twenty-two trillion, two hundred ten billion, two hundred one million, one hundred twenty thousand".