121154400 has 288 divisors, whose sum is σ = 449971200. Its totient is φ = 31449600.

The previous prime is 121154381. The next prime is 121154401. The reversal of 121154400 is 4451121.

121154400 is a `hidden beast` number, since 1 + 211 + 54 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121154401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1533561 + ... + 1533639.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^121154400 is an apocalyptic number.

121154400 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 121154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

121154400 is an abundant number, since it is smaller than the sum of its proper divisors (328816800).

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

121154400 is a wasteful number, since it uses less digits than its factorization.

121154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 121154400 is about 11007.0159443875. The cubic root of 121154400 is about 494.8190339409.

It can be divided in two parts, 1211 and 54400, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 121154400 in words is "one hundred twenty-one million, one hundred fifty-four thousand, four hundred".