124441401122420 has 96 divisors (see below), whose sum is σ = 269209254567456. Its totient is φ = 48300777216000.

The previous prime is 124441401122407. The next prime is 124441401122431. The reversal of 124441401122420 is 24221104144421.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 77194006864144 + 47247394258276 = 8786012^2 + 6873674^2 .

It is a super-2 number, since 2×124441401122420² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32308994 + ... + 35954886.

It is an arithmetic number, because the mean of its divisors is an integer number (2804263068411).

Almost surely, 2^{124441401122420} is an apocalyptic number.

124441401122420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124441401122420 is an abundant number, since it is smaller than the sum of its proper divisors (144767853445036).

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

124441401122420 is a wasteful number, since it uses less digits than its factorization.

124441401122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646341 (or 3646339 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 124441401122420 its reverse (24221104144421), we get a palindrome (148662505266841).

The spelling of 124441401122420 in words is "one hundred twenty-four trillion, four hundred forty-one billion, four hundred one million, one hundred twenty-two thousand, four hundred twenty".