11112001011120 has 640 divisors, whose sum is σ = 38155272192000. Its totient is φ = 2664398499840.

The previous prime is 11112001011107. The next prime is 11112001011193. The reversal of 11112001011120 is 2111010021111.

It is a super-2 number, since 2×11112001011120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11112001011096 and 11112001011105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2263595226 + ... + 2263600134.

It is an arithmetic number, because the mean of its divisors is an integer number (59617612800).

Almost surely, 2^{11112001011120} is an apocalyptic number.

11112001011120 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 11112001011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19077636096000).

11112001011120 is an abundant number, since it is smaller than the sum of its proper divisors (27043271180880).

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

11112001011120 is a wasteful number, since it uses less digits than its factorization.

11112001011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5281 (or 5275 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11112001011120 its reverse (2111010021111), we get a palindrome (13223011032231).

Subtracting from 11112001011120 its reverse (2111010021111), we obtain a palindrome (9000990990009).

The spelling of 11112001011120 in words is "eleven trillion, one hundred twelve billion, one million, eleven thousand, one hundred twenty".