121094400 has 432 divisors, whose sum is σ = 492718464. Its totient is φ = 25559040.

The previous prime is 121094399. The next prime is 121094423. The reversal of 121094400 is 4490121.

It is a super-2 number, since 2×121094400² = 29327707422720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2284774 + ... + 2284826.

It is an arithmetic number, because the mean of its divisors is an integer number (1140552).

Almost surely, 2^121094400 is an apocalyptic number.

121094400 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 121094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246359232).

121094400 is an abundant number, since it is smaller than the sum of its proper divisors (371624064).

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

121094400 is a wasteful number, since it uses less digits than its factorization.

121094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 121094400 is about 11004.2900725126. The cubic root of 121094400 is about 494.7373364143.

The spelling of 121094400 in words is "one hundred twenty-one million, ninety-four thousand, four hundred".