121412400 has 240 divisors, whose sum is σ = 418473216. Its totient is φ = 30018560.

The previous prime is 121412393. The next prime is 121412411. The reversal of 121412400 is 4214121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121412400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1462759 + ... + 1462841.

Almost surely, 2^121412400 is an apocalyptic number.

121412400 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 121412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209236608).

121412400 is an abundant number, since it is smaller than the sum of its proper divisors (297060816).

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

121412400 is a wasteful number, since it uses less digits than its factorization.

121412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 121412400 is about 11018.7295093400. The cubic root of 121412400 is about 495.1700262767.

Adding to 121412400 its reverse (4214121), we get a palindrome (125626521).

It can be divided in two parts, 12141 and 2400, that added together give a palindrome (14541).

The spelling of 121412400 in words is "one hundred twenty-one million, four hundred twelve thousand, four hundred".