10011224301120 has 672 divisors, whose sum is σ = 40575300599808. Its totient is φ = 2217728802816.

The previous prime is 10011224301107. The next prime is 10011224301161. The reversal of 10011224301120 is 2110342211001.

10011224301120 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 122 + 430 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10011224301120² (a number of 27 digits) contains 22 as substring.

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 = 10011224301093 and 10011224301102.

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, 191675329 + ... + 191727551.

Almost surely, 2^{10011224301120} is an apocalyptic number.

10011224301120 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 10011224301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20287650299904).

10011224301120 is an abundant number, since it is smaller than the sum of its proper divisors (30564076298688).

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

10011224301120 is a wasteful number, since it uses less digits than its factorization.

10011224301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52547 (or 52534 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10011224301120 its reverse (2110342211001), we get a palindrome (12121566512121).

The spelling of 10011224301120 in words is "ten trillion, eleven billion, two hundred twenty-four million, three hundred one thousand, one hundred twenty".