121352400 has 180 divisors, whose sum is σ = 453695788. Its totient is φ = 29859840.

The previous prime is 121352369. The next prime is 121352431. The reversal of 121352400 is 4253121.

121352400 is a `hidden beast` number, since 1 + 213 + 52 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (121352369) and next prime (121352431).

It can be written as a sum of positive squares in 6 ways, for example, as 9585216 + 111767184 = 3096^2 + 10572^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 45504 + ... + 48096.

Almost surely, 2^121352400 is an apocalyptic number.

121352400 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 121352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226847894).

121352400 is an abundant number, since it is smaller than the sum of its proper divisors (332343388).

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

121352400 is a wasteful number, since it uses less digits than its factorization.

121352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 121352400 is about 11016.0065359458. The cubic root of 121352400 is about 495.0884445573.

It can be divided in two parts, 12135 and 2400, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 121352400 in words is "one hundred twenty-one million, three hundred fifty-two thousand, four hundred".