1110211215120 has 480 divisors, whose sum is σ = 4368792879360. Its totient is φ = 247359651840.

The previous prime is 1110211215119. The next prime is 1110211215131. The reversal of 1110211215120 is 215121120111.

It is a happy number.

1110211215120 is a `hidden beast` number, since 1 + 1 + 10 + 21 + 121 + 512 + 0 = 666.

It is a super-2 number, since 2×1110211215120² (a number of 25 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 = 1110211215093 and 1110211215102.

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, 474650911 + ... + 474653249.

It is an arithmetic number, because the mean of its divisors is an integer number (9101651832).

Almost surely, 2^{1110211215120} is an apocalyptic number.

1110211215120 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 1110211215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184396439680).

1110211215120 is an abundant number, since it is smaller than the sum of its proper divisors (3258581664240).

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

1110211215120 is a wasteful number, since it uses less digits than its factorization.

1110211215120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4703 (or 4694 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 18.

Adding to 1110211215120 its reverse (215121120111), we get a palindrome (1325332335231).

The spelling of 1110211215120 in words is "one trillion, one hundred ten billion, two hundred eleven million, two hundred fifteen thousand, one hundred twenty".