121282400 has 36 divisors (see below), whose sum is σ = 296082612. Its totient is φ = 48512640.

The previous prime is 121282393. The next prime is 121282409. The reversal of 121282400 is 4282121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121282409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75002 + ... + 76601.

It is an arithmetic number, because the mean of its divisors is an integer number (8224517).

Almost surely, 2^121282400 is an apocalyptic number.

121282400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121282400 is an abundant number, since it is smaller than the sum of its proper divisors (174800212).

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

121282400 is a wasteful number, since it uses less digits than its factorization.

121282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151623 (or 151610 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 121282400 is about 11012.8288827167. The cubic root of 121282400 is about 494.9932318906.

The spelling of 121282400 in words is "one hundred twenty-one million, two hundred eighty-two thousand, four hundred".