121012221122120 has 64 divisors (see below), whose sum is σ = 288359215628400. Its totient is φ = 45547208089600.

The previous prime is 121012221122083. The next prime is 121012221122129. The reversal of 121012221122120 is 21221122210121.

It can be written as a sum of positive squares in 8 ways, for example, as 81758161848484 + 39254059273636 = 9042022^2 + 6265306^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121012221122092 and 121012221122101.

It is not an unprimeable number, because it can be changed into a prime (121012221122129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17183231 + ... + 23179470.

Almost surely, 2^{121012221122120} is an apocalyptic number.

121012221122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121012221122120 is an abundant number, since it is smaller than the sum of its proper divisors (167346994506280).

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

121012221122120 is a wasteful number, since it uses less digits than its factorization.

121012221122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40367138 (or 40367134 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 121012221122120 its reverse (21221122210121), we get a palindrome (142233343332241).

The spelling of 121012221122120 in words is "one hundred twenty-one trillion, twelve billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty".