111221013000 has 128 divisors (see below), whose sum is σ = 349309059840. Its totient is φ = 29462400000.

The previous prime is 111221012983. The next prime is 111221013067. The reversal of 111221013000 is 310122111.

It is a super-4 number, since 4×111221013000⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330240 + ... + 575760.

It is an arithmetic number, because the mean of its divisors is an integer number (2728977030).

Almost surely, 2^111221013000 is an apocalyptic number.

111221013000 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 111221013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174654529920).

111221013000 is an abundant number, since it is smaller than the sum of its proper divisors (238088046840).

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

111221013000 is a wasteful number, since it uses less digits than its factorization.

111221013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245696 (or 245682 counting only the distinct ones).

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

Adding to 111221013000 its reverse (310122111), we get a palindrome (111531135111).

The spelling of 111221013000 in words is "one hundred eleven billion, two hundred twenty-one million, thirteen thousand".