1221254496 has 480 divisors, whose sum is σ = 4654298880. Its totient is φ = 304819200.

The previous prime is 1221254477. The next prime is 1221254513. The reversal of 1221254496 is 6944521221.

It is a happy number.

1221254496 is a `hidden beast` number, since 1 + 2 + 21 + 2 + 544 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1221254496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5787831 + ... + 5788041.

It is an arithmetic number, because the mean of its divisors is an integer number (9696456).

Almost surely, 2^1221254496 is an apocalyptic number.

1221254496 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 1221254496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327149440).

1221254496 is an abundant number, since it is smaller than the sum of its proper divisors (3433044384).

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

1221254496 is a wasteful number, since it uses less digits than its factorization.

1221254496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1221254496 is about 34946.4518370607. The cubic root of 1221254496 is about 1068.8958523015.

It can be divided in two parts, 122125 and 4496, that added together give a palindrome (126621).

The spelling of 1221254496 in words is "one billion, two hundred twenty-one million, two hundred fifty-four thousand, four hundred ninety-six".