10225135224000 has 224 divisors, whose sum is σ = 37514885803200. Its totient is φ = 2726702668800.

The previous prime is 10225135223999. The next prime is 10225135224011. The reversal of 10225135224000 is 42253152201.

10225135224000 is a `hidden beast` number, since 1 + 0 + 2 + 251 + 3 + 5 + 2 + 2 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23453295 + ... + 23885294.

Almost surely, 2^{10225135224000} is an apocalyptic number.

10225135224000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10225135224000 is an abundant number, since it is smaller than the sum of its proper divisors (27289750579200).

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

10225135224000 is an equidigital number, since it uses as much as digits as its factorization.

10225135224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47338625 (or 47338599 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10225135224000 its reverse (42253152201), we get a palindrome (10267388376201).

The spelling of 10225135224000 in words is "ten trillion, two hundred twenty-five billion, one hundred thirty-five million, two hundred twenty-four thousand".