121415400 has 72 divisors (see below), whose sum is σ = 407759430. Its totient is φ = 32376960.

The previous prime is 121415387. The next prime is 121415401. The reversal of 121415400 is 4514121.

121415400 is a `hidden beast` number, since 121 + 4 + 1 + 540 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 57062916 + 64352484 = 7554^2 + 8022^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (121415401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31927 + ... + 35526.

Almost surely, 2^121415400 is an apocalyptic number.

121415400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121415400 is an abundant number, since it is smaller than the sum of its proper divisors (286344030).

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

121415400 is a wasteful number, since it uses less digits than its factorization.

121415400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67475 (or 67463 counting only the distinct ones).

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

The square root of 121415400 is about 11018.8656403461. The cubic root of 121415400 is about 495.1741046570.

Adding to 121415400 its reverse (4514121), we get a palindrome (125929521).

The spelling of 121415400 in words is "one hundred twenty-one million, four hundred fifteen thousand, four hundred".