13121222420 has 24 divisors (see below), whose sum is σ = 27628455624. Its totient is φ = 5234414976.

The previous prime is 13121222419. The next prime is 13121222431. The reversal of 13121222420 is 2422212131.

13121222420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 128414224 + 12992808196 = 11332^2 + 113986^2 .

It is a super-3 number, since 3×13121222420³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 13121222392 and 13121222401.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 871979 + ... + 886898.

It is an arithmetic number, because the mean of its divisors is an integer number (1151185651).

Almost surely, 2^13121222420 is an apocalyptic number.

13121222420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121222420 is an abundant number, since it is smaller than the sum of its proper divisors (14507233204).

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

13121222420 is a wasteful number, since it uses less digits than its factorization.

13121222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759259 (or 1759257 counting only the distinct ones).

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

Adding to 13121222420 its reverse (2422212131), we get a palindrome (15543434551).

The spelling of 13121222420 in words is "thirteen billion, one hundred twenty-one million, two hundred twenty-two thousand, four hundred twenty".