1221120434340 has 72 divisors (see below), whose sum is σ = 3704225910840. Its totient is φ = 325617997824.

The previous prime is 1221120434333. The next prime is 1221120434351. The reversal of 1221120434340 is 434340211221.

1221120434340 is a `hidden beast` number, since 1 + 2 + 21 + 1 + 204 + 3 + 434 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17215539264 + 1203904895076 = 131208^2 + 1097226^2 .

It is a super-2 number, since 2×1221120434340² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4406772 + ... + 4675668.

It is an arithmetic number, because the mean of its divisors is an integer number (51447582095).

Almost surely, 2^{1221120434340} is an apocalyptic number.

1221120434340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221120434340 is an abundant number, since it is smaller than the sum of its proper divisors (2483105476500).

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

1221120434340 is a wasteful number, since it uses less digits than its factorization.

1221120434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294141 (or 294136 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1221120434340 its reverse (434340211221), we get a palindrome (1655460645561).

The spelling of 1221120434340 in words is "one trillion, two hundred twenty-one billion, one hundred twenty million, four hundred thirty-four thousand, three hundred forty".