122303121131100 has 1728 divisors, whose sum is σ = 477314695904256. Its totient is φ = 23902563041280.

The previous prime is 122303121131089. The next prime is 122303121131141. The reversal of 122303121131100 is 1131121303221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 36916123044 + ... + 36916126356.

It is an arithmetic number, because the mean of its divisors is an integer number (276223782352).

Almost surely, 2^{122303121131100} is an apocalyptic number.

122303121131100 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 122303121131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238657347952128).

122303121131100 is an abundant number, since it is smaller than the sum of its proper divisors (355011574773156).

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

122303121131100 is a wasteful number, since it uses less digits than its factorization.

122303121131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 122303121131100 its reverse (1131121303221), we get a palindrome (123434242434321).

It can be divided in two parts, 122303121 and 131100, that added together give a palindrome (122434221).

The spelling of 122303121131100 in words is "one hundred twenty-two trillion, three hundred three billion, one hundred twenty-one million, one hundred thirty-one thousand, one hundred".