121120212211020 has 144 divisors (see below), whose sum is σ = 400801034979072. Its totient is φ = 29362238190720.

The previous prime is 121120212211007. The next prime is 121120212211043. The reversal of 121120212211020 is 20112212021121.

121120212211020 is a `hidden beast` number, since 1 + 211 + 202 + 1 + 221 + 10 + 20 = 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 = 121120212210984 and 121120212211002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 478603839 + ... + 478856841.

It is an arithmetic number, because the mean of its divisors is an integer number (2783340520688).

Almost surely, 2^{121120212211020} is an apocalyptic number.

121120212211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121120212211020 is an abundant number, since it is smaller than the sum of its proper divisors (279680822768052).

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

121120212211020 is a wasteful number, since it uses less digits than its factorization.

121120212211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494812 (or 494807 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121120212211020 its reverse (20112212021121), we get a palindrome (141232424232141).

The spelling of 121120212211020 in words is "one hundred twenty-one trillion, one hundred twenty billion, two hundred twelve million, two hundred eleven thousand, twenty".