10000120312224 has 288 divisors, whose sum is σ = 35135562833280. Its totient is φ = 2633642366976.

The previous prime is 10000120312181. The next prime is 10000120312241. The reversal of 10000120312224 is 42221302100001.

It is a happy number.

10000120312224 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 120 + 312 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10000120312197 and 10000120312206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2110759 + ... + 4945254.

It is an arithmetic number, because the mean of its divisors is an integer number (121998482060).

Almost surely, 2^{10000120312224} is an apocalyptic number.

10000120312224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10000120312224 is an abundant number, since it is smaller than the sum of its proper divisors (25135442521056).

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

10000120312224 is a wasteful number, since it uses less digits than its factorization.

10000120312224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7056092 (or 7056081 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10000120312224 its reverse (42221302100001), we get a palindrome (52221422412225).

The spelling of 10000120312224 in words is "ten trillion, one hundred twenty million, three hundred twelve thousand, two hundred twenty-four".