121221313122 has 128 divisors (see below), whose sum is σ = 307275300864. Its totient is φ = 31023191808.

The previous prime is 121221313099. The next prime is 121221313127. The reversal of 121221313122 is 221313122121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121221313127) 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, 7729533 + ... + 7745199.

It is an arithmetic number, because the mean of its divisors is an integer number (2400588288).

Almost surely, 2^121221313122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121221313122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153637650432).

121221313122 is an abundant number, since it is smaller than the sum of its proper divisors (186053987742).

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

121221313122 is a wasteful number, since it uses less digits than its factorization.

121221313122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16112.

The product of its digits is 288, while the sum is 21.

Adding to 121221313122 its reverse (221313122121), we get a palindrome (342534435243).

It can be divided in two parts, 121 and 221313122, that multiplied together give a palindrome (26778887762).

The spelling of 121221313122 in words is "one hundred twenty-one billion, two hundred twenty-one million, three hundred thirteen thousand, one hundred twenty-two".