10422240124200 has 192 divisors, whose sum is σ = 32383724184000. Its totient is φ = 2772835338240.

The previous prime is 10422240124111. The next prime is 10422240124223. The reversal of 10422240124200 is 242104222401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1461946236 + ... + 1461953364.

It is an arithmetic number, because the mean of its divisors is an integer number (168665230125).

Almost surely, 2^{10422240124200} is an apocalyptic number.

10422240124200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10422240124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16191862092000).

10422240124200 is an abundant number, since it is smaller than the sum of its proper divisors (21961484059800).

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

10422240124200 is a wasteful number, since it uses less digits than its factorization.

10422240124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12444 (or 12435 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10422240124200 its reverse (242104222401), we get a palindrome (10664344346601).

The spelling of 10422240124200 in words is "ten trillion, four hundred twenty-two billion, two hundred forty million, one hundred twenty-four thousand, two hundred".