10124206400320 has 56 divisors (see below), whose sum is σ = 25526399827464. Its totient is φ = 3811465936896.

The previous prime is 10124206400293. The next prime is 10124206400327. The reversal of 10124206400320 is 2300460242101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2788472496384 + 7335733903936 = 1669872^2 + 2708456^2 .

It is a super-2 number, since 2×10124206400320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124206400327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 930528237 + ... + 930539116.

Almost surely, 2^{10124206400320} is an apocalyptic number.

10124206400320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10124206400320 is an abundant number, since it is smaller than the sum of its proper divisors (15402193427144).

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

10124206400320 is a wasteful number, since it uses less digits than its factorization.

10124206400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861067387 (or 1861067377 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10124206400320 its reverse (2300460242101), we get a palindrome (12424666642421).

The spelling of 10124206400320 in words is "ten trillion, one hundred twenty-four billion, two hundred six million, four hundred thousand, three hundred twenty".