122113313302200 has 1536 divisors, whose sum is σ = 468982200360960. Its totient is φ = 25913489817600.

The previous prime is 122113313302187. The next prime is 122113313302241. The reversal of 122113313302200 is 2203313311221.

It is a super-2 number, since 2×122113313302200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25855029039 + ... + 25855033761.

It is an arithmetic number, because the mean of its divisors is an integer number (305326953360).

Almost surely, 2^{122113313302200} is an apocalyptic number.

122113313302200 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 122113313302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234491100180480).

122113313302200 is an abundant number, since it is smaller than the sum of its proper divisors (346868887058760).

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

122113313302200 is a wasteful number, since it uses less digits than its factorization.

122113313302200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5069 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122113313302200 its reverse (2203313311221), we get a palindrome (124316626613421).

It can be divided in two parts, 122113 and 313302200, that added together give a palindrome (313424313).

The spelling of 122113313302200 in words is "one hundred twenty-two trillion, one hundred thirteen billion, three hundred thirteen million, three hundred two thousand, two hundred".