10420333123200 has 768 divisors, whose sum is σ = 46082690519040. Its totient is φ = 1998703411200.

The previous prime is 10420333123199. The next prime is 10420333123223. The reversal of 10420333123200 is 232133302401.

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 95 ways as a sum of consecutive naturals, for example, 9067417 + ... + 10151783.

It is an arithmetic number, because the mean of its divisors is an integer number (60003503280).

Almost surely, 2^{10420333123200} is an apocalyptic number.

10420333123200 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 10420333123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23041345259520).

10420333123200 is an abundant number, since it is smaller than the sum of its proper divisors (35662357395840).

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

10420333123200 is a wasteful number, since it uses less digits than its factorization.

10420333123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084425 (or 1084408 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10420333123200 its reverse (232133302401), we get a palindrome (10652466425601).

The spelling of 10420333123200 in words is "ten trillion, four hundred twenty billion, three hundred thirty-three million, one hundred twenty-three thousand, two hundred".