121100001120 has 576 divisors, whose sum is σ = 500961936384. Its totient is φ = 26039439360.

The previous prime is 121100001107. The next prime is 121100001131. The reversal of 121100001120 is 21100001121.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14137959 + ... + 14146521.

It is an arithmetic number, because the mean of its divisors is an integer number (869725584).

Almost surely, 2^121100001120 is an apocalyptic number.

121100001120 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 121100001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250480968192).

121100001120 is an abundant number, since it is smaller than the sum of its proper divisors (379861935264).

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

121100001120 is a wasteful number, since it uses less digits than its factorization.

121100001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8675 (or 8664 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121100001120 its reverse (21100001121), we get a palindrome (142200002241).

Subtracting from 121100001120 its reverse (21100001121), we obtain a palindrome (99999999999).

The spelling of 121100001120 in words is "one hundred twenty-one billion, one hundred million, one thousand, one hundred twenty".