111142414526220 has 288 divisors, whose sum is σ = 420353839825920. Its totient is φ = 23092690567680.

The previous prime is 111142414526149. The next prime is 111142414526389. The reversal of 111142414526220 is 22625414241111.

It is a happy number.

111142414526220 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 4 + 24 + 1 + 4 + 5 + 2 + 622 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 177497409 + ... + 178122471.

It is an arithmetic number, because the mean of its divisors is an integer number (1459561943840).

Almost surely, 2^{111142414526220} is an apocalyptic number.

111142414526220 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 111142414526220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210176919912960).

111142414526220 is an abundant number, since it is smaller than the sum of its proper divisors (309211425299700).

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

111142414526220 is a wasteful number, since it uses less digits than its factorization.

111142414526220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637925 (or 637920 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 111142414526220 its reverse (22625414241111), we get a palindrome (133767828767331).

The spelling of 111142414526220 in words is "one hundred eleven trillion, one hundred forty-two billion, four hundred fourteen million, five hundred twenty-six thousand, two hundred twenty".