121283456 has 64 divisors (see below), whose sum is σ = 277831680. Its totient is φ = 51660288.

The previous prime is 121283443. The next prime is 121283471. The reversal of 121283456 is 654382121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199505 + ... + 200111.

It is an arithmetic number, because the mean of its divisors is an integer number (4341120).

Almost surely, 2^121283456 is an apocalyptic number.

121283456 is a gapful number since it is divisible by the number (16) 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 121283456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138915840).

121283456 is an abundant number, since it is smaller than the sum of its proper divisors (156548224).

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

121283456 is an equidigital number, since it uses as much as digits as its factorization.

121283456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 839 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 121283456 is about 11012.8768266970. The cubic root of 121283456 is about 494.9946685138.

The spelling of 121283456 in words is "one hundred twenty-one million, two hundred eighty-three thousand, four hundred fifty-six".