121100112120 has 192 divisors, whose sum is σ = 397196140320. Its totient is φ = 29362646016.

The previous prime is 121100112103. The next prime is 121100112121. The reversal of 121100112120 is 21211001121.

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

It is a junction number, because it is equal to n+sod(n) for n = 121100112096 and 121100112105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121100112121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6994194 + ... + 7011486.

Almost surely, 2^121100112120 is an apocalyptic number.

121100112120 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 121100112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198598070160).

121100112120 is an abundant number, since it is smaller than the sum of its proper divisors (276096028200).

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

121100112120 is a wasteful number, since it uses less digits than its factorization.

121100112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17454 (or 17383 counting only the distinct ones).

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

Adding to 121100112120 its reverse (21211001121), we get a palindrome (142311113241).

The spelling of 121100112120 in words is "one hundred twenty-one billion, one hundred million, one hundred twelve thousand, one hundred twenty".