10011300222312 has 96 divisors (see below), whose sum is σ = 27265859712000. Its totient is φ = 3318404906880.

The previous prime is 10011300222281. The next prime is 10011300222331. The reversal of 10011300222312 is 21322200311001.

10011300222312 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 130 + 0 + 222 + 312 = 666.

It is a super-2 number, since 2×10011300222312² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243925489 + ... + 243966527.

It is an arithmetic number, because the mean of its divisors is an integer number (284019372000).

Almost surely, 2^{10011300222312} is an apocalyptic number.

10011300222312 is a gapful number since it is divisible by the number (12) 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 10011300222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13632929856000).

10011300222312 is an abundant number, since it is smaller than the sum of its proper divisors (17254559489688).

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

10011300222312 is a wasteful number, since it uses less digits than its factorization.

10011300222312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59951 (or 59944 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10011300222312 its reverse (21322200311001), we get a palindrome (31333500533313).

The spelling of 10011300222312 in words is "ten trillion, eleven billion, three hundred million, two hundred twenty-two thousand, three hundred twelve".