11226516645120 has 144 divisors (see below), whose sum is σ = 40976785852800. Its totient is φ = 2566060941312.

The previous prime is 11226516645079. The next prime is 11226516645133. The reversal of 11226516645120 is 2154661562211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208799695 + ... + 208853454.

Almost surely, 2^{11226516645120} is an apocalyptic number.

11226516645120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11226516645120 is an abundant number, since it is smaller than the sum of its proper divisors (29750269207680).

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

11226516645120 is an equidigital number, since it uses as much as digits as its factorization.

11226516645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417653180 (or 417653166 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 11226516645120 in words is "eleven trillion, two hundred twenty-six billion, five hundred sixteen million, six hundred forty-five thousand, one hundred twenty".