13122123242250 has 128 divisors (see below), whose sum is σ = 35747321905152. Its totient is φ = 3179609640000.

The previous prime is 13122123242213. The next prime is 13122123242251. The reversal of 13122123242250 is 5224232122131.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (13122123242251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17039019 + ... + 17792481.

It is an arithmetic number, because the mean of its divisors is an integer number (279275952384).

Almost surely, 2^{13122123242250} is an apocalyptic number.

13122123242250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13122123242250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873660952576).

13122123242250 is an abundant number, since it is smaller than the sum of its proper divisors (22625198662902).

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

13122123242250 is a wasteful number, since it uses less digits than its factorization.

13122123242250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755605 (or 755595 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 13122123242250 its reverse (5224232122131), we get a palindrome (18346355364381).

The spelling of 13122123242250 in words is "thirteen trillion, one hundred twenty-two billion, one hundred twenty-three million, two hundred forty-two thousand, two hundred fifty".