111010211112000 has 896 divisors, whose sum is σ = 389526586195968. Its totient is φ = 27807556608000.

The previous prime is 111010211111939. The next prime is 111010211112023. The reversal of 111010211112000 is 211112010111.

It is a super-2 number, since 2×111010211112000² (a number of 29 digits) contains 22 as substring.

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

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 127 ways as a sum of consecutive naturals, for example, 12194899449 + ... + 12194908551.

Almost surely, 2^{111010211112000} is an apocalyptic number.

111010211112000 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 111010211112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194763293097984).

111010211112000 is an abundant number, since it is smaller than the sum of its proper divisors (278516375083968).

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

111010211112000 is a wasteful number, since it uses less digits than its factorization.

111010211112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9644 (or 9624 counting only the distinct ones).

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

Adding to 111010211112000 its reverse (211112010111), we get a palindrome (111221323122111).

The spelling of 111010211112000 in words is "one hundred eleven trillion, ten billion, two hundred eleven million, one hundred twelve thousand".