122312221201100 has 144 divisors (see below), whose sum is σ = 306384520510656. Its totient is φ = 41514057600000.

The previous prime is 122312221201061. The next prime is 122312221201133. The reversal of 122312221201100 is 1102122213221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473631614 + ... + 473889786.

It is an arithmetic number, because the mean of its divisors is an integer number (2127670281324).

Almost surely, 2^{122312221201100} is an apocalyptic number.

122312221201100 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 122312221201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153192260255328).

122312221201100 is an abundant number, since it is smaller than the sum of its proper divisors (184072299309556).

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

122312221201100 is a wasteful number, since it uses less digits than its factorization.

122312221201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264996 (or 264989 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 122312221201100 its reverse (1102122213221), we get a palindrome (123414343414321).

The spelling of 122312221201100 in words is "one hundred twenty-two trillion, three hundred twelve billion, two hundred twenty-one million, two hundred one thousand, one hundred".