121120020 has 144 divisors (see below), whose sum is σ = 424639488. Its totient is φ = 27371520.

The previous prime is 121120009. The next prime is 121120057. The reversal of 121120020 is 20021121.

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

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 121119984 and 121120011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121725 + ... + 122715.

Almost surely, 2^121120020 is an apocalyptic number.

121120020 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 121120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212319744).

121120020 is an abundant number, since it is smaller than the sum of its proper divisors (303519468).

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

121120020 is a wasteful number, since it uses less digits than its factorization.

121120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 121120020 is about 11005.4541023985. The cubic root of 121120020 is about 494.7722245588.

Adding to 121120020 its reverse (20021121), we get a palindrome (141141141).

The spelling of 121120020 in words is "one hundred twenty-one million, one hundred twenty thousand, twenty".