121283904 has 224 divisors, whose sum is σ = 393265152. Its totient is φ = 32256000.

The previous prime is 121283893. The next prime is 121283909. The reversal of 121283904 is 409382121.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121283909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1708189 + ... + 1708259.

It is an arithmetic number, because the mean of its divisors is an integer number (1755648).

Almost surely, 2^121283904 is an apocalyptic number.

121283904 is a gapful number since it is divisible by the number (14) 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 121283904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196632576).

121283904 is an abundant number, since it is smaller than the sum of its proper divisors (271981248).

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

121283904 is a wasteful number, since it uses less digits than its factorization.

121283904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 121283904 is about 11012.8971665044. The cubic root of 121283904 is about 494.9952779878.

The spelling of 121283904 in words is "one hundred twenty-one million, two hundred eighty-three thousand, nine hundred four".