121111400 has 96 divisors (see below), whose sum is σ = 301320000. Its totient is φ = 45112320.

The previous prime is 121111379. The next prime is 121111409. The reversal of 121111400 is 4111121.

It is not an unprimeable number, because it can be changed into a prime (121111409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 608501 + ... + 608699.

It is an arithmetic number, because the mean of its divisors is an integer number (3138750).

Almost surely, 2^121111400 is an apocalyptic number.

121111400 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 121111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150660000).

121111400 is an abundant number, since it is smaller than the sum of its proper divisors (180208600).

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

121111400 is a wasteful number, since it uses less digits than its factorization.

121111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 121111400 is about 11005.0624714265. The cubic root of 121111400 is about 494.7604867862.

Adding to 121111400 its reverse (4111121), we get a palindrome (125222521).

The spelling of 121111400 in words is "one hundred twenty-one million, one hundred eleven thousand, four hundred".