121121000112 has 120 divisors (see below), whose sum is σ = 358845111808. Its totient is φ = 34485471360.

The previous prime is 121121000111. The next prime is 121121000137. The reversal of 121121000112 is 211000121121.

121121000112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121121000112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (121121000111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32496393 + ... + 32500119.

Almost surely, 2^121121000112 is an apocalyptic number.

121121000112 is a gapful number since it is divisible by the number (12) 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 121121000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179422555904).

121121000112 is an abundant number, since it is smaller than the sum of its proper divisors (237724111696).

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

121121000112 is an equidigital number, since it uses as much as digits as its factorization.

121121000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121121000112 its reverse (211000121121), we get a palindrome (332121121233).

The spelling of 121121000112 in words is "one hundred twenty-one billion, one hundred twenty-one million, one hundred twelve", and thus it is an aban number.