122313215243100 has 576 divisors, whose sum is σ = 437691827930112. Its totient is φ = 25738291200000.

The previous prime is 122313215243057. The next prime is 122313215243231. The reversal of 122313215243100 is 1342512313221.

It is a super-2 number, since 2×122313215243100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 299068750 + ... + 299477450.

It is an arithmetic number, because the mean of its divisors is an integer number (759881645712).

Almost surely, 2^{122313215243100} is an apocalyptic number.

122313215243100 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 122313215243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218845913965056).

122313215243100 is an abundant number, since it is smaller than the sum of its proper divisors (315378612687012).

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

122313215243100 is a wasteful number, since it uses less digits than its factorization.

122313215243100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408926 (or 408919 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 122313215243100 its reverse (1342512313221), we get a palindrome (123655727556321).

The spelling of 122313215243100 in words is "one hundred twenty-two trillion, three hundred thirteen billion, two hundred fifteen million, two hundred forty-three thousand, one hundred".