1122261408 has 144 divisors (see below), whose sum is σ = 3275790336. Its totient is φ = 364331520.

The previous prime is 1122261403. The next prime is 1122261433. The reversal of 1122261408 is 8041622211.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1122261408² = 2518941335772284928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122261403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2230885 + ... + 2231387.

It is an arithmetic number, because the mean of its divisors is an integer number (22748544).

Almost surely, 2^1122261408 is an apocalyptic number.

1122261408 is a gapful number since it is divisible by the number (18) 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 1122261408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637895168).

1122261408 is an abundant number, since it is smaller than the sum of its proper divisors (2153528928).

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

1122261408 is a wasteful number, since it uses less digits than its factorization.

1122261408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1122261408 is about 33500.1702682240. The cubic root of 1122261408 is about 1039.1972997457.

Adding to 1122261408 its reverse (8041622211), we get a palindrome (9163883619).

The spelling of 1122261408 in words is "one billion, one hundred twenty-two million, two hundred sixty-one thousand, four hundred eight".