1226541120 has 224 divisors, whose sum is σ = 4571804928. Its totient is φ = 272719872.

The previous prime is 1226541119. The next prime is 1226541131. The reversal of 1226541120 is 211456221.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246174 + ... + 251106.

Almost surely, 2^1226541120 is an apocalyptic number.

1226541120 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 1226541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285902464).

1226541120 is an abundant number, since it is smaller than the sum of its proper divisors (3345263808).

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

1226541120 is a wasteful number, since it uses less digits than its factorization.

1226541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4997 (or 4987 counting only the distinct ones).

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

The square root of 1226541120 is about 35022.0090800057. The cubic root of 1226541120 is about 1070.4359943299.

Adding to 1226541120 its reverse (211456221), we get a palindrome (1437997341).

The spelling of 1226541120 in words is "one billion, two hundred twenty-six million, five hundred forty-one thousand, one hundred twenty".