122123121300 has 432 divisors, whose sum is σ = 416013998400. Its totient is φ = 29859840000.

The previous prime is 122123121283. The next prime is 122123121311. The reversal of 122123121300 is 3121321221.

122123121300 is a `hidden beast` number, since 1 + 221 + 2 + 312 + 130 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 158807316 + ... + 158808084.

Almost surely, 2^122123121300 is an apocalyptic number.

122123121300 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 122123121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208006999200).

122123121300 is an abundant number, since it is smaller than the sum of its proper divisors (293890877100).

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

122123121300 is a wasteful number, since it uses less digits than its factorization.

122123121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122123121300 its reverse (3121321221), we get a palindrome (125244442521).

The spelling of 122123121300 in words is "one hundred twenty-two billion, one hundred twenty-three million, one hundred twenty-one thousand, three hundred".