11226220143600 has 1440 divisors, whose sum is σ = 47853851443200. Its totient is φ = 2185073049600.

The previous prime is 11226220143587. The next prime is 11226220143613. The reversal of 11226220143600 is 634102262211.

It is an interprime number because it is at equal distance from previous prime (11226220143587) and next prime (11226220143613).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6382159521 + ... + 6382161279.

It is an arithmetic number, because the mean of its divisors is an integer number (33231841280).

Almost surely, 2^{11226220143600} is an apocalyptic number.

11226220143600 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 11226220143600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23926925721600).

11226220143600 is an abundant number, since it is smaller than the sum of its proper divisors (36627631299600).

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

11226220143600 is a wasteful number, since it uses less digits than its factorization.

11226220143600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 11226220143600 in words is "eleven trillion, two hundred twenty-six billion, two hundred twenty million, one hundred forty-three thousand, six hundred".