121012112111220 has 576 divisors, whose sum is σ = 404472030004224. Its totient is φ = 29042910167040.

The previous prime is 121012112111183. The next prime is 121012112111243. The reversal of 121012112111220 is 22111211210121.

It is a happy number.

121012112111220 is a `hidden beast` number, since 1 + 21 + 0 + 1 + 211 + 211 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121012112111193 and 121012112111202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69031437864 + ... + 69031439616.

It is an arithmetic number, because the mean of its divisors is an integer number (702208385424).

Almost surely, 2^{121012112111220} is an apocalyptic number.

121012112111220 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 121012112111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202236015002112).

121012112111220 is an abundant number, since it is smaller than the sum of its proper divisors (283459917893004).

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

121012112111220 is a wasteful number, since it uses less digits than its factorization.

121012112111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121012112111220 its reverse (22111211210121), we get a palindrome (143123323321341).

The spelling of 121012112111220 in words is "one hundred twenty-one trillion, twelve billion, one hundred twelve million, one hundred eleven thousand, two hundred twenty".