121122221120 has 168 divisors, whose sum is σ = 296772954840. Its totient is φ = 47084298240.

The previous prime is 121122221111. The next prime is 121122221153. The reversal of 121122221120 is 21122221121.

It can be written as a sum of positive squares in 4 ways, for example, as 11153049664 + 109969171456 = 105608^2 + 331616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159161540 + ... + 159162300.

Almost surely, 2^121122221120 is an apocalyptic number.

121122221120 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 121122221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148386477420).

121122221120 is an abundant number, since it is smaller than the sum of its proper divisors (175650733720).

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

121122221120 is an equidigital number, since it uses as much as digits as its factorization.

121122221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 121122221120 its reverse (21122221121), we get a palindrome (142244442241).

Subtracting from 121122221120 its reverse (21122221121), we obtain a palindrome (99999999999).

The spelling of 121122221120 in words is "one hundred twenty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".