121311456 has 288 divisors, whose sum is σ = 412648992. Its totient is φ = 30965760.

The previous prime is 121311451. The next prime is 121311469. The reversal of 121311456 is 654113121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121311451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2958796 + ... + 2958836.

It is an arithmetic number, because the mean of its divisors is an integer number (1432809).

Almost surely, 2^121311456 is an apocalyptic number.

121311456 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 121311456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206324496).

121311456 is an abundant number, since it is smaller than the sum of its proper divisors (291337536).

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

121311456 is a wasteful number, since it uses less digits than its factorization.

121311456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 121311456 is about 11014.1479924686. The cubic root of 121311456 is about 495.0327577546.

Adding to 121311456 its reverse (654113121), we get a palindrome (775424577).

The spelling of 121311456 in words is "one hundred twenty-one million, three hundred eleven thousand, four hundred fifty-six".