121101223120 has 80 divisors (see below), whose sum is σ = 300761352720. Its totient is φ = 45187530752.

The previous prime is 121101223099. The next prime is 121101223121. The reversal of 121101223120 is 21322101121.

It can be written as a sum of positive squares in 8 ways, for example, as 3389102656 + 117712120464 = 58216^2 + 343092^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121101223094 and 121101223103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121101223121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240325 + ... + 547684.

It is an arithmetic number, because the mean of its divisors is an integer number (3759516909).

Almost surely, 2^121101223120 is an apocalyptic number.

121101223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121101223120 is an abundant number, since it is smaller than the sum of its proper divisors (179660129600).

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

121101223120 is a wasteful number, since it uses less digits than its factorization.

121101223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788152 (or 788146 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 121101223120 its reverse (21322101121), we get a palindrome (142423324241).

The spelling of 121101223120 in words is "one hundred twenty-one billion, one hundred one million, two hundred twenty-three thousand, one hundred twenty".