121142220320 has 96 divisors (see below), whose sum is σ = 330582301056. Its totient is φ = 41460428800.

The previous prime is 121142220307. The next prime is 121142220323. The reversal of 121142220320 is 23022241121.

121142220320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×121142220320³ (a number of 34 digits) contains 333 as substring.

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 = 121142220292 and 121142220301.

It is not an unprimeable number, because it can be changed into a prime (121142220323) 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, 1994516 + ... + 2054355.

It is an arithmetic number, because the mean of its divisors is an integer number (3443565636).

Almost surely, 2^121142220320 is an apocalyptic number.

121142220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121142220320 is an abundant number, since it is smaller than the sum of its proper divisors (209440080736).

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

121142220320 is a wasteful number, since it uses less digits than its factorization.

121142220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048914 (or 4048906 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 121142220320 its reverse (23022241121), we get a palindrome (144164461441).

The spelling of 121142220320 in words is "one hundred twenty-one billion, one hundred forty-two million, two hundred twenty thousand, three hundred twenty".