121021312213120 has 128 divisors (see below), whose sum is σ = 320792149327680. Its totient is φ = 43286311219200.

The previous prime is 121021312213093. The next prime is 121021312213201. The reversal of 121021312213120 is 21312213120121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×121021312213120⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 121021312213091 and 121021312213100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140476522 + ... + 141335401.

Almost surely, 2^{121021312213120} is an apocalyptic number.

121021312213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121021312213120 is an abundant number, since it is smaller than the sum of its proper divisors (199770837114560).

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

121021312213120 is a wasteful number, since it uses less digits than its factorization.

121021312213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281812014 (or 281812002 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 121021312213120 its reverse (21312213120121), we get a palindrome (142333525333241).

The spelling of 121021312213120 in words is "one hundred twenty-one trillion, twenty-one billion, three hundred twelve million, two hundred thirteen thousand, one hundred twenty".