111121410400 has 288 divisors, whose sum is σ = 364232187648. Its totient is φ = 31970764800.

The previous prime is 111121410391. The next prime is 111121410419. The reversal of 111121410400 is 4014121111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 731419 + ... + 870181.

It is an arithmetic number, because the mean of its divisors is an integer number (1264695096).

Almost surely, 2^111121410400 is an apocalyptic number.

111121410400 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 111121410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182116093824).

111121410400 is an abundant number, since it is smaller than the sum of its proper divisors (253110777248).

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

111121410400 is a wasteful number, since it uses less digits than its factorization.

111121410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138814 (or 138801 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 111121410400 its reverse (4014121111), we get a palindrome (115135531511).

The spelling of 111121410400 in words is "one hundred eleven billion, one hundred twenty-one million, four hundred ten thousand, four hundred".