10223220242400 has 288 divisors, whose sum is σ = 36661158285696. Its totient is φ = 2453817600000.

The previous prime is 10223220242369. The next prime is 10223220242413. The reversal of 10223220242400 is 424202232201.

It is a super-2 number, since 2×10223220242400² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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, 749355 + ... + 4583445.

It is an arithmetic number, because the mean of its divisors is an integer number (127295688492).

Almost surely, 2^{10223220242400} is an apocalyptic number.

10223220242400 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 10223220242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18330579142848).

10223220242400 is an abundant number, since it is smaller than the sum of its proper divisors (26437938043296).

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

10223220242400 is a wasteful number, since it uses less digits than its factorization.

10223220242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834226 (or 3834213 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10223220242400 its reverse (424202232201), we get a palindrome (10647422474601).

The spelling of 10223220242400 in words is "ten trillion, two hundred twenty-three billion, two hundred twenty million, two hundred forty-two thousand, four hundred".