121122000000 has 448 divisors, whose sum is σ = 447041152800. Its totient is φ = 32284800000.

The previous prime is 121121999951. The next prime is 121122000007. The reversal of 121122000000 is 221121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (121122000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 53998879 + ... + 54001121.

Almost surely, 2^121122000000 is an apocalyptic number.

121122000000 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 121122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223520576400).

121122000000 is an abundant number, since it is smaller than the sum of its proper divisors (325919152800).

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

121122000000 is an frugal number, since it uses more digits than its factorization.

121122000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 121122000000 its reverse (221121), we get a palindrome (121122221121).

The spelling of 121122000000 in words is "one hundred twenty-one billion, one hundred twenty-two million", and thus it is an aban number.