121451400 has 504 divisors, whose sum is σ = 521459370. Its totient is φ = 26127360.

The previous prime is 121451399. The next prime is 121451423. The reversal of 121451400 is 4154121.

121451400 is a `hidden beast` number, since 1 + 214 + 51 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 104162436 + 17288964 = 10206^2 + 4158^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 7144192 + ... + 7144208.

Almost surely, 2^121451400 is an apocalyptic number.

121451400 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 121451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260729685).

121451400 is an abundant number, since it is smaller than the sum of its proper divisors (400007970).

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

121451400 is a wasteful number, since it uses less digits than its factorization.

121451400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

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

The square root of 121451400 is about 11020.4990812576. The cubic root of 121451400 is about 495.2230399821.

The spelling of 121451400 in words is "one hundred twenty-one million, four hundred fifty-one thousand, four hundred".