1122434880 has 448 divisors, whose sum is σ = 4389120000. Its totient is φ = 237330432.

The previous prime is 1122434867. The next prime is 1122434893. The reversal of 1122434880 is 884342211.

It is an interprime number because it is at equal distance from previous prime (1122434867) and next prime (1122434893).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1122434880² = 2519720119681228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7533046 + ... + 7533194.

Almost surely, 2^1122434880 is an apocalyptic number.

1122434880 is a gapful number since it is divisible by the number (10) 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 1122434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194560000).

1122434880 is an abundant number, since it is smaller than the sum of its proper divisors (3266685120).

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

1122434880 is a wasteful number, since it uses less digits than its factorization.

1122434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 1122434880 is about 33502.7592893481. The cubic root of 1122434880 is about 1039.2508411473.

The spelling of 1122434880 in words is "one billion, one hundred twenty-two million, four hundred thirty-four thousand, eight hundred eighty".