122121456 has 40 divisors (see below), whose sum is σ = 316110720. Its totient is φ = 40625856.

The previous prime is 122121449. The next prime is 122121479. The reversal of 122121456 is 654121221.

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

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, 24765 + ... + 29283.

It is an arithmetic number, because the mean of its divisors is an integer number (7902768).

Almost surely, 2^122121456 is an apocalyptic number.

122121456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122121456 is an abundant number, since it is smaller than the sum of its proper divisors (193989264).

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

122121456 is a wasteful number, since it uses less digits than its factorization.

122121456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5087 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 122121456 is about 11050.8577042689. The cubic root of 122121456 is about 496.1320971436.

Adding to 122121456 its reverse (654121221), we get a palindrome (776242677).

The spelling of 122121456 in words is "one hundred twenty-two million, one hundred twenty-one thousand, four hundred fifty-six".