122201001102000 has 320 divisors, whose sum is σ = 407581174885248. Its totient is φ = 31477350400000.

The previous prime is 122201001101983. The next prime is 122201001102049. The reversal of 122201001102000 is 201100102221.

122201001102000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 22386832 + ... + 27305168.

Almost surely, 2^{122201001102000} is an apocalyptic number.

122201001102000 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 122201001102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203790587442624).

122201001102000 is an abundant number, since it is smaller than the sum of its proper divisors (285380173783248).

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

122201001102000 is a wasteful number, since it uses less digits than its factorization.

122201001102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4918505 (or 4918489 counting only the distinct ones).

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

Adding to 122201001102000 its reverse (201100102221), we get a palindrome (122402101204221).

The spelling of 122201001102000 in words is "one hundred twenty-two trillion, two hundred one billion, one million, one hundred two thousand".