122100301323312 has 160 divisors (see below), whose sum is σ = 341299533265152. Its totient is φ = 37391595052032.

The previous prime is 122100301323311. The next prime is 122100301323373. The reversal of 122100301323312 is 213323103001221.

It is a super-2 number, since 2×122100301323312² (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 not an unprimeable number, because it can be changed into a prime (122100301323311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129220803 + ... + 130162269.

Almost surely, 2^{122100301323312} is an apocalyptic number.

122100301323312 is a gapful number since it is divisible by the number (12) 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 122100301323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170649766632576).

122100301323312 is an abundant number, since it is smaller than the sum of its proper divisors (219199231941840).

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

122100301323312 is a wasteful number, since it uses less digits than its factorization.

122100301323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942475 (or 942469 counting only the distinct ones).

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

Adding to 122100301323312 its reverse (213323103001221), we get a palindrome (335423404324533).

The spelling of 122100301323312 in words is "one hundred twenty-two trillion, one hundred billion, three hundred one million, three hundred twenty-three thousand, three hundred twelve".